SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  Schedule 13D

                    Under the Securities Exchange Act of 1934
                               (Amendment No. 68)*

                               NL INDUSTRIES, INC.
                                (Name of Issuer)

                         Common Stock, $0.125 par value
                         (Title of Class of Securities)

                                   629156 40 7
                                 (CUSIP Number)

                                STEVEN L. WATSON
                              THREE LINCOLN CENTRE
                                   SUITE 1700
                                5430 LBJ FREEWAY
                            DALLAS, TEXAS 75240-2694
                                 (972) 233-1700
                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                November 4, 2002
                      (Date of Event which requires Filing
                               of this Statement)

         If the filing person has  previously  filed a statement on Schedule 13G
to report the  acquisition  that is the  subject of this  Schedule  13D,  and is
filing  this  schedule  because  of  sections   240.13d-1(e),   240.13d-1(f)  or
240.13d-1(g), check the following box. [ ]

         *The  remainder  of this cover page shall be filled out for a reporting
person's  initial  filing on this  form with  respect  to the  subject  class of
securities,  and for any subsequent amendment containing information which would
alter disclosures provided in a prior cover page.

         The information  required on the remainder of this cover page shall not
be deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise  subject to the  liabilities of that section of
the Act but shall be subject to all other  provisions of the Act  (however,  see
the Notes).

                         (Continued on following pages)






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Tremont Corporation

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    10,215,541
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     10,215,541

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      10,215,541

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      21.4%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO







CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Tremont Group, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [  ]

             (b)  [  ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    10,215,541
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     10,215,541

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      10,215,541

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      21.4%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Valhi, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      WC and BK

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Valhi Group, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Nevada

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      National City Lines, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      NOA, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Dixie Holding Company

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Dixie Rice Agricultural Corporation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Southwest Louisiana Land Company, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Louisiana

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Contran Corporation

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Delaware

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      The Combined Master Retirement Trust

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      EP






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Harold Simmons Foundation, Inc.

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      Texas

                               7      SOLE VOTING POWER

                                                            -0-
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,350,931
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                             -0-

                               10     SHARED DISPOSITIVE POWER

                                                     40,350,931

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      40,350,931

    12       CHECK IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [  ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      84.6%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      CO






CUSIP No.  629156 40 7

     1       NAME OF REPORTING PERSON
             S.S. OR I.R.S. IDENTIFICATION NO.  OF ABOVE PERSON

                      Harold C. Simmons

     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP(SEE INSTRUCTIONS)

             (a)  [   ]

             (b)  [   ]

     3       SEC USE ONLY



     4       SOURCE OF FUNDS (SEE INSTRUCTIONS)

                      Not applicable

     5       CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
             PURSUANT TO ITEMS 2(d) OR 2(e)  [  ]


     6       CITIZENSHIP OR PLACE OF ORGANIZATION

                      USA

                               7      SOLE VOTING POWER

                                                         15,000
        NUMBER OF
          SHARES               8      SHARED VOTING POWER
       BENEFICIALLY
         OWNED BY                                    40,420,406
           EACH
        REPORTING              9      SOLE DISPOSITIVE POWER
          PERSON
           WITH                                          15,000

                               10     SHARED DISPOSITIVE POWER

                                                     40,420,406

    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                      15,000

    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
             CERTAIN SHARES (SEE INSTRUCTIONS)  [ X ]

    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                      0.0%

    14       TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                      IN






                                AMENDMENT NO. 68
                                 TO SCHEDULE 13D

         This amended  statement on Schedule 13D (this  "Statement")  relates to
the common stock,  $0.125 par value per share (the "Shares"),  of NL Industries,
Inc., a New Jersey  corporation (the "Company").  Items 2, 4, 5, 6 and 7 of this
Statement are hereby amended as set forth below.

Item 2.  Identity and Background.

         Item 2 is amended as follows:

         (a) This Statement is filed (i) by Tremont Corporation  ("Tremont") and
Valhi,  Inc.  ("Valhi") as the direct  holders of Shares,  (ii) by virtue of the
direct and indirect  ownership of  securities  of Tremont or Valhi (as described
below in this Statement),  by Tremont Group,  Inc.  ("TGI"),  Valhi Group,  Inc.
("VGI"),  National  City Lines,  Inc.  ("National"),  NOA, Inc.  ("NOA"),  Dixie
Holding Company ("Dixie  Holding"),  Dixie Rice Agricultural  Corporation,  Inc.
("Dixie Rice"),  Southwest Louisiana Land Company, Inc.  ("Southwest"),  Contran
Corporation  ("Contran"),  The Combined Master Retirement Trust (the "CMRT") and
the Harold Simmons  Foundation,  Inc. (the  "Foundation") and (iii) by virtue of
his  positions  with Contran and certain of the other  entities (as described in
this Statement),  by Harold C. Simmons (collectively,  the "Reporting Persons").
By signing this Statement,  each Reporting  Person agrees that this Statement is
filed on its or his behalf.

         Valhi and Tremont  are the direct  holders of  approximately  63.2% and
21.4%,  respectively,  of the 47,682,384  Shares  outstanding as of November 14,
2002  according to the Company's  Quarterly  Report on Form 10-Q for the quarter
ended September 30, 2002 (the "Outstanding Shares"). Together, Valhi and Tremont
may be deemed to control the Company. TGI, the Company and Valhi are the holders
of approximately 80.0%, 0.1% and 0.1%,  respectively,  of the outstanding shares
of common stock of Tremont and together may be deemed to control Tremont.  Valhi
and the  Company  are the  direct  holders  of  approximately  80.0% and  20.0%,
respectively,  of the  outstanding  common stock of TGI.  Together Valhi and the
Company may be deemed to control TGI. VGI,  National,  Contran,  the Foundation,
the Contran  Deferred  Compensation  Trust No. 2 (the "CDCT No. 2") and the CMRT
are the direct holders of approximately  80.6%, 9.5%, 2.1%, 1.4%, 0.4% and 0.1%,
respectively,  of the common stock of Valhi. Together, VGI, National and Contran
may be deemed to control Valhi.  National,  NOA and Dixie Holding are the direct
holders  of  approximately  73.3%,  11.4%  and  15.3%,   respectively,   of  the
outstanding common stock of VGI. Together,  National,  NOA and Dixie Holding may
be  deemed  to  control  VGI.   Contran  and  NOA  are  the  direct  holders  of
approximately 85.7% and 14.3%, respectively,  of the outstanding common stock of
National and together may be deemed to control  National.  Contran and Southwest
are the direct holders of approximately  49.9% and 50.1%,  respectively,  of the
outstanding common stock of NOA and together may be deemed to control NOA. Dixie
Rice is the  direct  holder  of 100% of the  outstanding  common  stock of Dixie
Holding  and may be deemed to control  Dixie  Holding.  Contran is the holder of
100% of the outstanding  common stock of Dixie Rice and may be deemed to control
Dixie Rice. Contran is also the holder of approximately 88.9% of the outstanding
common stock of Southwest and may be deemed to control Southwest.

         Substantially  all of  Contran's  outstanding  voting  stock is held by
trusts  established  for the benefit of certain  children and  grandchildren  of
Harold C. Simmons (the "Trusts"),  of which Mr. Simmons is the sole trustee.  As
sole trustee of each of the Trusts, Mr. Simmons has the power to vote and direct
the  disposition of the shares of Contran stock held by each of the Trusts.  Mr.
Simmons, however,  disclaims beneficial ownership of any shares of Contran stock
that the Trusts hold.

         The Foundation  directly holds  approximately  1.4% of the  outstanding
Valhi common  stock.  The  Foundation is a tax-exempt  foundation  organized for
charitable  purposes.  Harold C.  Simmons is the chairman of the board and chief
executive officer of the Foundation and may be deemed to control the Foundation.

         The CDCT No. 2 directly  holds  approximately  0.4% of the  outstanding
Valhi common stock. U.S. Bank National  Association serves as the trustee of the
CDCT No. 2. Contran  established the CDCT No. 2 as an irrevocable  "rabbi trust"
to assist Contran in meeting certain deferred  compensation  obligations that it
owes to Harold C. Simmons.  If the CDCT No. 2 assets are insufficient to satisfy
such  obligations,   Contran  is  obligated  to  satisfy  the  balance  of  such
obligations  as they come due.  Pursuant to the terms of the CDCT No. 2, Contran
(i) retains the power to vote the shares of Valhi common stock held  directly by
the CDCT No. 2, (ii) retains dispositive power over such shares and (iii) may be
deemed the indirect beneficial owner of such shares.

         The CMRT directly holds approximately 0.1% of the outstanding shares of
Valhi  common  stock.  Valhi  established  the  CMRT as a trust  to  permit  the
collective  investment  by master  trusts  that  maintain  the assets of certain
employee  benefit plans Valhi and related  companies  adopt.  Mr. Simmons is the
sole trustee of the CMRT and a member of the trust investment  committee for the
CMRT. Mr. Simmons is a participant in one or more of the employee  benefit plans
that invest through the CMRT.

         Valmont Insurance  Company  ("Valmont") and a subsidiary of the Company
directly own  1,000,000  shares and  1,186,200  shares,  respectively,  of Valhi
common stock. Valhi is the direct holder of 100% of the outstanding common stock
of Valmont and may be deemed to control Valmont. Pursuant to Delaware law, Valhi
treats the shares of Valhi common stock that Valmont and the  subsidiary  of the
Company own as treasury  stock for voting  purposes and for the purposes of this
Statement are not deemed outstanding.

         Mr.  Harold C.  Simmons is  chairman  of the board and chief  executive
officer of TGI, VGI,  National,  NOA, Dixie Holding,  Dixie Rice,  Southwest and
Contran.  Mr. Simmons is also chairman of the board of the Company and Valhi and
a director of Tremont.

         By virtue of the holding of the offices, the stock ownership and his
service as trustee, all as described above, (a) Mr. Simmons may be deemed to
control the entities described above and (b) Mr. Simmons and certain of such
entities may be deemed to possess indirect beneficial ownership of Shares
directly held by certain of such other entities. However, Mr. Simmons disclaims
beneficial ownership of the Shares beneficially owned, directly or indirectly,
by any of such entities.

         Harold C.  Simmons'  spouse is the direct owner of 69,475  Shares.  Mr.
Simmons may be deemed to share indirect beneficial ownership of such shares. Mr.
Simmons disclaims all such beneficial ownership.

         Certain information  concerning the directors and executive officers of
the Reporting  Persons,  including offices held by Mr. Simmons,  is set forth on
Schedule B attached hereto and incorporated herein by reference.

         (b) The business  addresses of the directors and executive  officers of
the  Reporting  Persons  are set  forth  on  Schedule  B to this  Statement  and
incorporated herein by reference.

         (c) The present principal occupation or employment of the directors and
executive  officers of the Reporting Persons are set forth on Schedule B to this
Statement and incorporated herein by reference.

         (d) None of the  Reporting  Persons or, to the best  knowledge  of such
persons,  any of the  persons  named in Schedule B to this  Statement,  has been
convicted in a criminal  proceeding  in the past five years  (excluding  traffic
violations or similar misdemeanors).

         (e) None of the  Reporting  Persons or, to the best  knowledge  of such
persons,  any person  named in  Schedule B to this  Statement,  was a party to a
civil proceeding of a judicial or administrative body of competent  jurisdiction
as a result of which such  person was or is  subject  to a  judgment,  decree or
final  order  enjoining  future  violations  of,  or  prohibiting  or  mandating
activities subject to, federal or state securities laws or finding any violation
with respect to such laws.

         (f)  Contran,  Dixie  Holding,  National,  Valhi,  TGI and  Tremont are
Delaware corporations.  VGI is a Nevada corporation.  NOA is a Texas corporation
and the Foundation is a Texas non-profit  corporation.  Dixie Rice and Southwest
are  Louisiana  corporations.  The CMRT is  governed by the laws of the state of
Texas, except as those laws are superseded by federal law. Harold C. Simmons and
all the persons named on Schedule B to this Statement are citizens of the United
States, except as otherwise indicated on such Schedule.

Item 4.  Purpose of Transaction.

         Item 4 is amended as follows.

         On November 4, 2002,  Valhi and Tremont  entered into an Agreement  and
Plan of Merger,  as amended,  for Valhi to acquire Tremont in a  stock-for-stock
exchange  (the "Merger  Agreement").  The  description  of the Merger  Agreement
contained  in this  Statement  is  qualified  in its  entirety by  reference  to
Appendix A to the Registration Statement on Form S-4 (Reg. No. 333-101244) filed
by Valhi on November 15, 2002 (the "Registration Statement") with the Securities
and Exchange  Commission  (the  "Commission"),  which Appendix A is incorporated
herein by reference. Pursuant to the Merger Agreement, a wholly owned subsidiary
of Valhi will merge (the  "Merger") with and into Tremont with Tremont being the
surviving entity. In the Merger,  each stockholder of Tremont,  other than Valhi
and TGI,  will  receive 3.4 shares of Valhi  common  stock for each  outstanding
share of Tremont  common stock held by such  stockholder.  The Merger  Agreement
provides that Tremont's  stockholders will receive cash in lieu of Valhi issuing
any fractional shares in the Merger.  The Merger is subject to customary closing
conditions  and will  require  the  approval of the holders of a majority of the
outstanding shares of Tremont common stock. TGI has indicated that it intends to
vote its  shares of  Tremont  common  stock in favor of  adoption  of the Merger
Agreement.  Therefore,  assuming that TGI so votes its shares of Tremont  common
stock, the Merger Agreement will be adopted and the Merger will be completed.

         On November 4, 2002,  Valhi and TGI entered into an Agreement  and Plan
of Merger for Valhi to acquire  all of TGI in a  stock-for-stock  exchange  (the
"TGI Merger  Agreement").  The description of the TGI Merger Agreement contained
in this  Statement  is qualified in its entirety by reference to Exhibit 10.3 to
Valhi's  Quarterly Report on Form 10-Q for the quarter ended September 30, 2002,
which agreement is incorporated herein by reference.  Pursuant to the TGI Merger
Agreement, a wholly owned subsidiary of Valhi will merge (the "TGI Merger") with
and into TGI with TGI being the surviving entity. In the TGI Merger,  Valhi will
issue  3,495,200  shares  of its  common  stock in  exchange  for the  Company's
approximately  20%  ownership  interest  in TGI.  The  number of shares of Valhi
common  stock to be  issued  to the  Company  in the TGI  Merger is equal to the
Company's approximately 20% pro rata interest in the 5,141,421 shares of Tremont
common stock currently owned by TGI, adjusted for the same 3.4 exchange ratio in
the Merger.  The  effectiveness  of the TGI Merger,  which has been  approved by
TGI's stockholders, is a condition to Tremont's obligations to close the Merger.

         Since the Company is a majority owned subsidiary of Valhi,  pursuant to
Delaware law Valhi will treat any Shares  issued to the Company in the Merger or
the TGI Merger as treasury stock for voting purposes.

         On November 5, 2002,  Valhi and  Tremont  issued a joint press  release
disclosing the execution of the Merger Agreement. A copy of the press release is
incorporated  herein  by  reference  to the  Form 425  filed  by Valhi  with the
Commission on November 5, 2002.

         On  November  15,  2002,  Valhi  filed the  Registration  Statement  to
register  the  shares of Valhi  common  stock to be issued  in the  Merger.  The
prospectus  included  in the  Registration  Statement  also  serves  as a  proxy
statement  pursuant  to which  Tremont's  board of  directors  plans to  solicit
proxies  from  Tremont's  stockholders  to  adopt  the  Merger  Agreement.   The
information  contained in the  Registration  Statement  under the captions  "The
Merger - General  Description," "- Background of the Merger," "- Valhi's Reasons
for the Merger," "- Ownership Interests in Valhi Common Stock After the Merger,"
"- Management  and Operations  After the Merger," "- Litigation  Relating to the
Merger" and "Related  Transactions to Be Completed  Immediately  Prior to and as
Soon as Possible Following the Completion of the Merger," is incorporated herein
by reference.  The information contained in the prospectus/proxy  statement that
is a part of the  Registration  Statement  is not  complete  and may be changed.
Valhi cannot sell the securities to be issued in the Merger until the Commission
declares the Registration  Statement effective.  The prospectus/proxy  statement
that  is a part of the  Registration  Statement  is not an  offer  to sell  such
securities and it is not soliciting an offer to buy such securities in any state
where offers or sales are not permitted. The prospectus/proxy  statement that is
a part of the Registration  Statement is not soliciting  material from Tremont's
board of  directors  in  connection  with the  solicitation  of proxies  for the
adoption of the Merger Agreement.

         Depending  upon  their   evaluation  of  the  Company's   business  and
prospects,  and  upon  future  developments  (including,  but  not  limited  to,
performance of the Shares in the market, availability of funds, alternative uses
of funds, the Reporting Persons' tax planning objectives and money, stock market
and general economic conditions), any of the Reporting Persons or other entities
or persons  that may be deemed to be  affiliated  with  Contran may from time to
time  purchase  Shares,  and any of the Reporting  Persons or other  entities or
persons that may be deemed to be  affiliated  with Contran may from time to time
dispose  of all or a portion  of the Shares  held by such  entity or person,  or
cease buying or selling Shares.  Any such  additional  purchases or sales of the
Shares may be in open market or privately negotiated transactions or otherwise.

         As described under Item 2, Harold C. Simmons,  through Contran,  may be
deemed to control the Company.

         The information  included under Item 6 of this Amendment No. 68 to this
Statement is incorporated herein by reference.

         Certain of the persons named in Schedule B to this Statement, namely J.
Landis  Martin,  Thomas P.  Stafford,  Glenn R.  Simmons,  Harold C. Simmons and
Steven L. Watson are directors or officers of the Company and may acquire Shares
from time to time pursuant to benefit  plans that the Company  sponsors or other
compensation arrangements with the Company.

         Except as described in this Item 4, none of the Reporting  Persons nor,
to the best  knowledge of such persons,  any other person named in Schedule B to
this Statement has  formulated  any plans or proposals  which relate to or would
result in any matter  required to be  disclosed  in response to  paragraphs  (a)
through (j) of Item 4 of Schedule 13D.

Item 5.  Interest in Securities of the Issuer.

         Item 5 is amended as follows:

         (a) Valhi, Tremont, Harold C. Simmons' spouse and Harold C. Simmons are
the direct beneficial owners of 30,135,390, 10,215,541, 69,475 and 5,000 Shares,
respectively. In addition, Harold C. Simmons holds stock options exercisable for
10,000 Shares,  only 8,000 of which stock options are vested or will vest within
60 days of the filing of this Statement.

         By  virtue  of  the  relationships  described  under  Item  2  of  this
Statement:

                  (1)  Tremont  and TGI may each be deemed to be the  beneficial
         owner of the 10,215,541 Shares  (approximately 21.4% of the Outstanding
         Shares) directly held by Tremont;

                  (2) Valhi,  VGI,  National,  NOA, Dixie  Holding,  Dixie Rice,
         Southwest,  Contran,  the CMRT and the Foundation may each be deemed to
         be the beneficial owner of the 40,350,931 Shares  (approximately  84.6%
         of the Outstanding Shares) directly held by Valhi and Tremont; and

                  (3) Harold C. Simmons may be deemed to be the beneficial owner
         of the  40,435,406  Shares  (approximately  84.8%  of  the  Outstanding
         Shares)  directly  held by Valhi,  Tremont,  Mr.  Simmons'  spouse  and
         himself and including the 10,000 Shares that Mr. Simmons can acquire by
         exercise of stock options (only 8,000 of which stock options are vested
         or will vest within 60 days of the filing of this Statement).

         Mr. Simmons disclaims  beneficial  ownership of all Shares,  except the
5,000 Shares that he holds  directly and the 10,000 Shares that Mr.  Simmons can
acquire by exercise  of stock  options  (only  8,000 of which stock  options are
vested or will vest within 60 days of the filing of this Statement).

         The Reporting Persons  understand,  based on ownership filings with the
Securities and Exchange  Commission or upon information  provided by the persons
listed on Schedule B to this  Statement,  that such persons may be deemed to own
personally  and  beneficially  the  Shares as  indicated  on  Schedule C to this
Statement.

         (b)      By virtue of the relationships described in Item 2:

                  (1)  Tremont  and TGI may each be deemed to share the power to
         vote and direct the  disposition of the 10,215,541  Shares that Tremont
         directly holds;

                  (2) Valhi,  VGI,  National,  NOA, Dixie  Holding,  Dixie Rice,
         Southwest,  Contran,  the CMRT and the Foundation may each be deemed to
         share the power to vote and direct the  disposition  of the  40,350,931
         Shares that Valhi and Tremont directly hold;

                  (3) Harold C. Simmons may be deemed to share the power to vote
         and direct the disposition of the 40,420,406 Shares that Valhi, Tremont
         and Mr. Simmons' spouse directly hold; and

                  (4) Harold C.  Simmons may be deemed to have the sole power to
         vote and  direct  the  disposition  of the 5,000  Shares  that he holds
         directly  and the 10,000  shares  that he can  acquire  pursuant to the
         exercise of stock options (only 8,000 of which stock options are vested
         or will vest within 60 days of the filing of this Statement).

         (c) Within the last 60 days of this  amendment,  certain of the persons
named on Schedule B to this Statement effected  transactions in Shares and stock
options  exercisable for Shares.  Such  transactions are set forth on Schedule D
attached hereto and incorporated herein by reference.

         (d) Each of Valhi,  Tremont,  Harold C.  Simmons'  spouse and Harold C.
Simmons  has the  right to  receive  and the  power to  direct  the  receipt  of
dividends  from,  and proceeds  from the sale of, the Shares that such entity or
person directly holds.

         Item 6 is amended as follows:

         Valhi is a party to a Credit  Agreement (the "Valhi Credit  Facility"),
as amended,  with Comerica Bank, PNB Financial Bank, Texas Capital Bank and U.S.
Bank National Association (collectively,  the "Banks"). The Banks have committed
to loan to Valhi under the Valhi  Credit  Facility up to an  aggregate  of $70.0
million.  The  maximum  amount that Valhi could  borrow  under the Valhi  Credit
Facility could be increased to a maximum of $100 million, if and when additional
participating  banks  committed  to loan  additional  amounts to Valhi under the
Valhi  Credit  Facility.  The maturity  date for the Valhi  Credit  Agreement is
October 31, 2003.

         Borrowings  under the Valhi Credit  Facility bear interest (i) for base
rate borrowings, at the greater of the rate announced publicly from time to time
by U.S.  Bank as its prime rate or 0.50% over the federal funds rate or (ii) for
eurodollar  borrowings,  at a rate of 1.5% over the relevant rate  (adjusted for
statutory reserve requirements for eurodollar  liabilities) at which deposits in
U.S.  dollars  are  offered  to  U.S.  Bank's  London  office  in the  interbank
eurodollar  market (the one,  two,  three or six month rate at Valhi's  option).
Valhi's  obligations  under the Valhi  Credit  Facility  are  collateralized  by
certain Shares.  As of November 22, 2002, Valhi had borrowed $62.0 million under
the Valhi Credit Facility,  approximately $1.1 million of letters of credit were
outstanding  under the Valhi Credit  Facility  and Valhi had pledged  29,974,610
Shares (62.9% of the Outstanding  Shares) under the Valhi Credit  Facility.  The
aggregate  amount that Valhi could  borrow  under the Valhi  Credit  Facility is
limited  to  one-third  of the fair  market  value of the  pledged  Shares.  The
foregoing  summary of the Valhi Credit  Facility is qualified in its entirety by
reference to Exhibits 7 through 14 to this Statement.

         The  information  included in Item 4 of this  Amendment  No. 68 to this
Statement is hereby incorporated herein by reference.

         Other than as set forth above, none of the Reporting Persons or, to the
best knowledge of such persons, any person named in Schedule B to this Statement
has  any  contract,   arrangement,   understanding  or  relationship  (legal  or
otherwise) with any person with respect to securities of the Company, including,
but not limited to,  transfer or voting of any such  securities,  finder's fees,
joint  ventures,  loans or option  arrangements,  puts or calls,  guarantees  of
profits, division of profits or losses, or the giving or withholding of proxies.

Item 7.  Material to be Filed as Exhibits.

         Item 7 is amended and restated as follows:

Exhibit 1         Letter  dated July 26, 2002 from  Valhi,  Inc. to the board of
                  directors of Tremont Corporation (incorporated by reference to
                  Exhibit 99.1 to the Current Report on Form 8-K of Valhi,  Inc.
                  the date of event of which is July 26, 2002).

Exhibit 2         Press Release of Valhi Inc. dated July 26, 2002  (incorporated
                  by reference to Exhibit 99.2 to the Current Report on Form 8-K
                  of Valhi, Inc. the date of event of which is July 26, 2002).

Exhibit 3         Press  Release of  Tremont  Corporation  dated  July 29,  2002
                  (incorporated  by reference to Exhibit 10 to Amendment  No. 20
                  to  the  Schedule  13D  filed  on  August  2,  2002  with  the
                  Securities  and Exchange  Commission  by Tremont  Group,  Inc,
                  Tremont Holdings, LLC, NL Industries, Inc., Valhi, Inc., Valhi
                  Group,  Inc.,  National City Lines,  Inc.,  NOA,  Inc.,  Dixie
                  Holding Company,  Dixie Rice Agricultural  Corporation,  Inc.,
                  Southwest Louisiana Land Company,  Inc., Contran  Corporation,
                  the Harold  Simmons  Foundation,  Inc.,  The  Combined  Master
                  Retirement  Trust and Harold C.  Simmons  with  respect to the
                  common   stock,   par  value  $1.00  per  share,   of  Tremont
                  Corporation).

Exhibit 4         Agreement  and Plan of Merger  dated  November  4, 2002  among
                  Valhi, Inc., Valhi Acquisition Corp. and Tremont  Corporation,
                  as amended  (incorporated  by  reference  to Appendix A to the
                  Registration Statement on Form S-4 (Reg. No. 333-101244) filed
                  by Valhi, Inc. with the Securities and Exchange  Commission on
                  November 15, 2002).

Exhibit 5         Agreement  and Plan of  Merger  dated as of  November  4, 2002
                  among Valhi,  Inc.,  Tremont Group, Inc. and Valhi Acquisition
                  Corp.  II  (incorporated  by  reference to Exhibit 10.3 to the
                  Quarterly  Report on Form 10-Q of Valhi,  Inc. for the quarter
                  ended September 30, 2002).

Exhibit 6         Joint Press  Release of Valhi,  Inc.  and Tremont  Corporation
                  dated November 5, 2002 (incorporated by referenced to the Form
                  425 filed by Valhi,  Inc.  with the  Securities  and  Exchange
                  Commission on November 5, 2002).

Exhibit 7         Credit  Agreement  dated as of November  6, 1998 among  Valhi,
                  Inc., the financial  institutions from time to time that are a
                  party  thereto (the "Banks") and Societe  Generale,  Southwest
                  Agency, as the administrative agent, issuing bank and arranger
                  (incorporated by reference to Exhibit 1 to Amendment No. 59 to
                  this Schedule 13D).

Exhibit 8         First  Amendment  Agreement dated as of November 5, 1999 among
                  Valhi, Inc., the Banks and Societe Generale, Southwest Agency,
                  as the  administrative  agent of the  banks  (incorporated  by
                  reference  to Exhibit 2 to Amendment  No. 60 to this  Schedule
                  13D).

Exhibit 9         Second Amendment  Agreement dated as of November 3, 2000 among
                  Valhi,  Inc., the Banks and U.S. Bank National  Association as
                  the   administrative   agent,   issuing   bank  and   arranger
                  (incorporated by reference to Exhibit 3 to Amendment No. 15 to
                  the Schedule 13D filed on October 24, 2000 with the Securities
                  and  Exchange   Commission  by  Tremont   Holdings,   LLC,  NL
                  Industries,  Inc., Valhi,  Inc., Valhi Group,  Inc.,  National
                  City Lines, Inc., NOA, Inc., Dixie Holding Company, Dixie Rice
                  Agricultural  Corporation,   Inc.,  Southwest  Louisiana  Land
                  Company,   Inc.,  Contran  Corporation,   the  Harold  Simmons
                  Foundation,  Inc., The Combined  Master  Retirement  Trust and
                  Harold C. Simmons with respect to the common stock,  par value
                  $1.00 per share, of Tremont Corporation).

Exhibit 10        Form of Accession Agreement dated as of December 1, 2000 among
                  Valhi, Inc., the Banks and U.S. Bank National Association,  as
                  the  administrative  agent  of  the  Banks,  and  the  related
                  promissory  note  in the  original  principal  amount  of $5.0
                  million   payable   to  the  order  of  Texas   Capital   Bank
                  (incorporated by reference to Exhibit 4 to Amendment No. 63 to
                  this Schedule 13D).

Exhibit 11        Third  Amendment of Credit  Agreement  dated as of November 2,
                  2001  among  Valhi,  Inc.,  the Banks and U.S.  Bank  National
                  Association  as the  administrative  agent,  issuing  bank and
                  arranger  (incorporated by reference to Exhibit 5 to Amendment
                  No. 65 to this Schedule 13D).

Exhibit 12        Form of Accession Agreement dated as of January 15, 2002 among
                  Valhi, Inc., the Banks and U.S. Bank National Association,  as
                  the  administrative  agent  of  the  Banks,  and  the  related
                  promissory  note in the  original  principal  amount  of $15.0
                  million   payable   to  the  order  of  PNB   Financial   Bank
                  (incorporated by reference to Exhibit 6 to Amendment No. 65 to
                  this Schedule 13D).

Exhibit 13        Form of  Accession  Agreement  dated as of  February  15, 2002
                  among  Valhi,   Inc.,   the  Banks  and  U.S.   Bank  National
                  Association, as the administrative agent of the Banks, and the
                  related  promissory note in the original  principal  amount of
                  $7.5  million  payable  to the  order  of Texas  Capital  Bank
                  (incorporated  by reference to Exhibit 10 to Amendment  No. 66
                  to this Schedule 13D).

Exhibit 14*       Fourth  Amendment of Credit  Agreement dated as of November 1,
                  2002  among  Valhi,  Inc.,  the Banks and U.S.  Bank  National
                  Association  as the  administrative  agent,  issuing  bank and
                  arranger.

----------

*        Filed herewith.







                                    Signature

         After reasonable  inquiry and to the best of my knowledge and belief, I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  November 27, 2002




                                                          /s/ Harold C. Simmons
                                                          ----------------------
                                                          Harold C. Simmons
                                                          Signing in the
                                                          capacities listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                    Signature

         After reasonable  inquiry and to the best of my knowledge and belief, I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  November 27, 2002




                                                          /s/ J. Landis Martin
                                                          ----------------------
                                                          J. Landis Martin
                                                          Signing in the
                                                          capacity listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                    Signature

         After reasonable  inquiry and to the best of my knowledge and belief, I
certify that the information  set forth in this Statement is true,  complete and
correct.

Date:  November 27, 2002





                                                          /s/ Steven L. Watson
                                                          ----------------------
                                                          Steven L. Watson
                                                          Signing in the
                                                          capacities listed on
                                                          Schedule "A" attached
                                                          hereto and
                                                          incorporated herein by
                                                          reference.





                                   SCHEDULE A


HAROLD C. SIMMONS, in his individual capacity and as trustee of THE COMBINED
MASTER RETIREMENT TRUST.


J. LANDIS MARTIN, as president of TREMONT CORPORATION.

STEVEN L. WATSON, as president or vice president of each of:

CONTRAN CORPORATION
DIXIE HOLDING COMPANY
DIXIE RICE AGRICULTURAL CORPORATION, INC.
HAROLD SIMMONS FOUNDATION, INC.
NATIONAL CITY LINES, INC.
NOA, INC.
SOUTHWEST LOUISIANA LAND COMPANY, INC.
TREMONT GROUP, INC.
VALHI GROUP, INC.
VALHI, INC.





                                   SCHEDULE B


         Schedule B is hereby amended and restated as follows:

         The  names  of  the  directors   and  executive   officers  of  Contran
Corporation  ("Contran"),  Dixie Holding Company ("Dixie  Holding"),  Dixie Rice
Agricultural  Corporation,  Inc. ("Dixie Rice"), the Harold Simmons  Foundation,
Inc. (the  "Foundation"),  National  City Lines,  Inc.  ("National"),  NOA, Inc.
("NOA"),   Southwest  Louisiana  Land  Company,  Inc.   ("Southwest"),   Tremont
Corporation ("Tremont"),  Tremont Group, Inc. ("TGI"), Valhi Group, Inc. ("VGI")
and Valhi, Inc. ("Valhi"), and their present principal occupations are set forth
below.  Except as  otherwise  indicated,  each such  person is a citizen  of the
United  States of America and the  business  address of each such person is 5430
LBJ Freeway, Suite 1700, Dallas, Texas 75240.

           Name                     Present Principal Occupation
-----------------------------       ---------------------------------

Eugene K. Anderson                  Vice  president of Contran,  Dixie  Holding,
                                    Dixie Rice, National,  NOA, Southwest,  TGI,
                                    VGI  and  Valhi;   and   treasurer   of  the
                                    Foundation.

Thomas E. Barry (1)                 Vice  president  for  executive  affairs  at
                                    Southern Methodist  University and professor
                                    of  marketing  in the Edwin L. Cox School of
                                    Business at Southern  Methodist  University;
                                    and a director of Valhi.

Norman S. Edelcup (2)               Senior vice president  business  development
                                    of  Florida  Savings  Bancorp;  director  of
                                    Valhi;  and  trustee of the Baron  Funds,  a
                                    mutual fund group.

Lisa Simmons Epstein                Director and president of the Foundation.

Robert D. Graham                    Vice President of Contran and Valhi.

Edward J. Hardin (3)                Partner  of the law firm of  Rogers & Hardin
                                    LLP; and a director of Valhi.

J. Mark Hollingsworth               Vice   president  and  general   counsel  of
                                    Contran,    Dixie   Holding,   Dixie   Rice,
                                    National,  NOA,  Southwest,   TGI,  VGI  and
                                    Valhi;  general  counsel of the  Foundation,
                                    CompX  International Inc., a manufacturer of
                                    ergonomic    computer    support    systems,
                                    precision  ball bearing  slides and security
                                    products  that  is  affiliated   with  Valhi
                                    ("CompX"),    and   The   Combined    Master
                                    Retirement  Trust, a trust Valhi established
                                    to  permit  the  collective   investment  by
                                    master  trusts that  maintain  the assets of
                                    certain  employee  benefit  plans  Valhi and
                                    related  companies  adopt (the "CMRT");  and
                                    acting    general    counsel   of   Keystone
                                    Consolidated Industries,  Inc. ("Keystone"),
                                    a  manufacturer  of steel rod, wire and wire
                                    products that is affiliated with Contran.

Keith A. Johnson                    Controller of the Foundation.

William J. Lindquist                Director   and  senior  vice   president  of
                                    Contran, Dixie Holding,  National,  NOA, TGI
                                    and VGI; and senior vice  president of Dixie
                                    Rice, Southwest and Valhi.

A. Andrew R. Louis                  Secretary of Contran,  CompX, Dixie Holding,
                                    Dixie Rice, National,  NOA, Southwest,  TGI,
                                    VGI and Valhi.

Kelly D. Luttmer                    Tax  director  of  Contran,   CompX,   Dixie
                                    Holding,   Dixie   Rice,   National,    NOA,
                                    Southwest, TGI, VGI and Valhi.

J. Landis Martin (4)                President,  chief  executive  officer  and a
                                    director  of  NL   Industries,   Inc.   (the
                                    "Company"); chairman of the board, president
                                    and chief  executive  officer of Tremont and
                                    Titanium Metals  Corporation,  a producer of
                                    titanium  metals products that is affiliated
                                    with Tremont ("TIMET").

Andrew McCollam, Jr. (5)            President   and  a  director  of  Southwest;
                                    director  of  Dixie  Rice;   and  a  private
                                    investor.

W. Hayden McIlroy (6)               Private  investor  primarily in real estate;
                                    and a director  of Tremont,  Med  Images,  a
                                    medical  information   company,   and  Cadco
                                    Systems,  Inc., a manufacturer  of emergency
                                    alert systems.

Harold M. Mire (7)                  Vice president of Dixie Rice and Southwest.

Robert E. Musgraves (4)             Executive vice president and general counsel
                                    of  TIMET;   and  vice  president,   general
                                    counsel and secretary of Tremont.

Bobby D. O'Brien                    Vice  president,  treasurer  and director of
                                    Dixie Holding,  National,  NOA and VGI; vice
                                    president  and  treasurer of Contran,  Dixie
                                    Rice,  TGI and Valhi;  and vice president of
                                    Southwest.

Glenn R. Simmons                    Vice chairman of the board of Contran, Dixie
                                    Holding,  National, NOA, TGI, VGI and Valhi;
                                    chairman of the board of CompX and Keystone;
                                    director  and  executive  vice  president of
                                    Southwest and Dixie Rice;  and a director of
                                    the Company, Tremont and TIMET.

Harold C. Simmons                   Chairman  of the board  and chief  executive
                                    officer of  Contran,  Dixie  Holding,  Dixie
                                    Rice,   the   Foundation,   National,   NOA,
                                    Southwest,  TGI  and  VGI;  chairman  of the
                                    board of the Company and Valhi;  director of
                                    Tremont; and trustee and member of the trust
                                    investment committee of the CMRT.

Richard A. Smith (7)                Vice president of Dixie Rice.

Thomas P. Stafford (8)              Co-founder  of  Stafford,  Burke and Hecker,
                                    Inc., a consulting company;  director of the
                                    Company,  Tremont and TIMET;  and a director
                                    of CMI Corporation and The Wackenhut Corp.

Gregory M. Swalwell                 Vice  president  and  controller of Contran,
                                    Dixie Holding,  National,  NOA, TGI, VGI and
                                    Valhi;  and vice president of Dixie Rice and
                                    Southwest.

J. Walter Tucker, Jr. (9)           President,   treasurer  and  a  director  of
                                    Tucker & Branham,  Inc., a mortgage banking,
                                    insurance  and  real  estate  company;  vice
                                    chairman  of  the  board  of   Keystone;   a
                                    director of Valhi; and a member of the trust
                                    investment committee of the CMRT.

Mark A. Wallace (4)                 Executive vice  president,  chief  financial
                                    officer  and  treasurer  of TIMET;  and vice
                                    president,   chief  financial   officer  and
                                    treasurer of Tremont.

Steven L. Watson                    Director  and  president  of Contran,  Dixie
                                    Holding, Dixie Rice, National,  NOA, TGI and
                                    VGI; director, president and chief executive
                                    officer  of Valhi;  director  and  executive
                                    vice president of Southwest;  director, vice
                                    president and  secretary of the  Foundation;
                                    and a director of the  Company,  Tremont and
                                    TIMET.

Terry N. Worrell (10)               Associated with Worrell Investments, Inc., a
                                    real  estate  investment   company;   and  a
                                    director of Tremont and Regency  Centers,  a
                                    publicly   traded    developer/operator   of
                                    shopping centers.

----------

(1)      The  principal  business  address for Dr.  Barry is Southern  Methodist
         University, Perkins Administration Bldg. #224, Dallas, Texas 75275.

(2)      The principal  business address for Mr. Edelcup is 8181 Southwest 117th
         Street, Pinecrest, Florida 33156.

(3)      The principal  business address for Mr. Hardin is 229 Peachtree Street,
         N.E., Suite 2700, Atlanta, Georgia 30303.

(4)      The  principal  business  address for  Messrs.  Martin,  Musgraves  and
         Wallace is 1999 Broadway, Suite 4300, Denver, Colorado 80202.

(5)      The principal  business  address for Mr.  McCollam is 402 Canal Street,
         Houma, Louisiana 70360.

(6)      The  principal  business  address  for Mr.  McIlroy is 6116 N.  Central
         Expressway, Dallas, Texas 75206.

(7)      The  principal  business  address  for  Messrs.  Mire and  Smith is 600
         Pasquiere Street, Gueydan, Louisiana 70542-0010.

(8)      The  principal  business  address  for Gen.  Stafford  is 1006  Cameron
         Street, Alexandria, Virginia 22314.

(9)      The  principal  business  address  for  Mr.  Tucker  is 400 E.  Central
         Boulevard, Orlando, Florida 32801.

(10)     The principal business address for Mr. Worrell is 6909 Vassar,  Dallas,
         Texas 75205.





                                   SCHEDULE C

         Schedule C is hereby amended and restated as follows:

         Based  upon   ownership   filings  with  the  Securities  and  Exchange
Commission or upon  information  provided by the persons listed on Schedule B to
this  Statement,  such persons may be deemed to own personally and  beneficially
Shares, as outlined below:



                                                           Shares                    Options
                       Name                                 Held                      Held (1)                Total
            --------------------------                  -----------                 -----------       -----------
                                                                                                
Eugene K. Anderson                                              -0-                     -0-                  -0-

Thomas E. Barry                                                 -0-                     -0-                  -0-

Norman S. Edelcup                                               -0-                     -0-                  -0-

Lisa Simmons Epstein                                          1,000                     -0-                1,000

Robert D. Graham                                                -0-                     -0-                  -0-

Edward J. Hardin                                                -0-                     -0-                  -0-

J. Mark Hollingsworth (2)                                       500                     -0-                  500

Keith A. Johnson                                                -0-                     -0-                  -0-

William J. Lindquist                                            -0-                     -0-                  -0-

A. Andrew R. Louis                                              -0-                     -0-                  -0-

Kelly D. Luttmer                                                -0-                     -0-                  -0-

J. Landis Martin                                             10,500                 111,000              121,500

Andrew McCollam, Jr.                                            -0-                     -0-                  -0-

W. Hayden McIlroy                                               -0-                     -0-                  -0-

Harold M. Mire                                                  -0-                     -0-                  -0-

Robert E. Musgraves                                             -0-                     -0-                  -0-

Bobby D. O'Brien                                                -0-                     -0-                  -0-

Glenn R. Simmons                                              3,000                   8,000               11,000

Harold C. Simmons (3)                                         5,000                   8,000               13,000

Richard A. Smith                                                -0-                     -0-                  -0-

Thomas P. Stafford                                            3,000                   4,000                7,000

Gregory M. Swalwell                                             -0-                     -0-                  -0-

J. Walter Tucker, Jr.                                           -0-                     -0-                  -0-

Mark A. Wallace                                                 -0-                     -0-                  -0-

Steven L. Watson                                              6,000                   2,000                8,000

Terry N. Worrell                                                -0-                     -0-                  -0-


----------

(1)      Represents  Shares issuable  pursuant to the exercise within 60 days of
         the date of this Statement of stock options.

(2)      Comprises  500  Shares  Mr.   Hollingsworth  holds  in  his  individual
         retirement account.

(3)      Mr. Simmons may be deemed to possess indirect  beneficial  ownership of
         the Shares as  described  in Item 5 of this  Statement.  Item 5 of this
         Statement  reports all Shares issuable  pursuant to the exercise of Mr.
         Simmons'  stock options,  regardless of vesting,  while this Schedule C
         reports only those Shares that Mr.  Simmons can receive  within 60 days
         of the date of this Statement  upon exercise of his stock options.  Mr.
         Simmons  disclaims  beneficial  ownership of all Shares  except for the
         5,000  Shares  that he holds  directly  and the 10,000  Shares that Mr.
         Simmons can acquire by exercise of stock  options  (only 8,000 of which
         stock  options  are vested or will vest within 60 days of the filing of
         this Statement).





                                   SCHEDULE D


         Based  upon   ownership   filings  with  the  Securities  and  Exchange
Commission or upon  information  provided by the persons listed on Schedule B to
this Statement,  J. Landis Martin effected the following  transactions in Shares
or stock  options  exercisable  for  Shares  during  the  past 60 days.  All the
following  sales of Shares and stock options  exercisable for Shares were to the
Company.

I.       On November  20,  2002,  Mr.  Martin sold 10,500  Shares for $18.00 per
         Share to the Company to exercise partially his stock option exercisable
         at $11.875  per Share,  received  15,915  Shares in such  exercise  and
         concurrently sold 5,415 of such Shares received in such exercise to the
         Company for $18.00 per Share.




                                                            Shares
                                                           Purchased
                                                          Pursuant to
                                                         Stock Option                    Shaers Sold
                                                          Exercise on                       to the
                                                             Such          Exercise       Company on    Sales Price
                Name                        Date             Date            Price        Such Date      per Share
       -----------------------           ----------        ---------       --------       ---------      ---------
                                                                                           
J. Landis Martin                          11/20/02                                          10,500        $18.0000
                                          11/20/02           15,915         $11.875          5,415        $18.0000

II.      On November 20, 2002,  Mr. Martin also sold to the Company stock options  exercisable for the following number of Shares
         for the following prices per underlying Share.




                                                  Aggregate Number of                            Sales Price of Stock
                                                 Underling Shares for       Exercise Price per   Option Expressed as
                                                    which the Stock        Share of Such Stock   a Price Per Share of
       Name                          Date        Option is Exercisable         Option            the Underlying Shares
-----------------                 ----------     ---------------------   ---------------------  ----------------------
                                                                                           
J. Landis Martin                   11/20/02               15,000               $14.2500                $3.7500
                                   11/20/02               15,000               $15.7500                $2.2500
                                   11/20/02               14,085               $11.8750                $6.1250
                                   11/20/02               30,000               $13.3750                $4.6250
                                   11/20/02               30,000               $14.8750                $3.1250
                                   11/20/02               19,800               $12.1875                $5.8125
                                   11/20/02               19,800               $13.6875                $4.3125
                                   11/20/02               19,800               $15.1875                $2.8125
                                   11/20/02               40,000               $14.2500                $3.7500






                                  EXHIBIT INDEX



Exhibit 1                  Letter  dated July 26, 2002 from  Valhi,  Inc. to the
                           board   of   directors    of   Tremont    Corporation
                           (incorporated  by  reference  to Exhibit  99.1 to the
                           Current Report on Form 8-K of Valhi, Inc. the date of
                           event of which is July 26, 2002).

Exhibit 2                  Press  Release  of Valhi  Inc.  dated  July 26,  2002
                           (incorporated  by  reference  to Exhibit  99.2 to the
                           Current Report on Form 8-K of Valhi, Inc. the date of
                           event of which is July 26, 2002).

Exhibit 3                  Press Release of Tremont  Corporation  dated July 29,
                           2002  (incorporated  by  reference  to  Exhibit 10 to
                           Amendment  No. 20 to the Schedule 13D filed on August
                           2, 2002 with the Securities  and Exchange  Commission
                           by Tremont  Group,  Inc,  Tremont  Holdings,  LLC, NL
                           Industries,  Inc.,  Valhi,  Inc., Valhi Group,  Inc.,
                           National City Lines,  Inc., NOA, Inc.,  Dixie Holding
                           Company, Dixie Rice Agricultural  Corporation,  Inc.,
                           Southwest  Louisiana  Land  Company,   Inc.,  Contran
                           Corporation, the Harold Simmons Foundation, Inc., The
                           Combined  Master   Retirement  Trust  and  Harold  C.
                           Simmons with respect to the common  stock,  par value
                           $1.00 per share, of Tremont Corporation).

Exhibit 4                  Agreement  and Plan of Merger dated  November 4, 2002
                           among  Valhi,   Inc.,  Valhi  Acquisition  Corp.  and
                           Tremont  Corporation,  as  amended  (incorporated  by
                           reference to Appendix A to the Registration Statement
                           on Form S-4  (Reg.  No.  333-101244)  filed by Valhi,
                           Inc. with the Securities  and Exchange  Commission on
                           November 15, 2002).

Exhibit 5                  Agreement  and Plan of Merger dated as of November 4,
                           2002 among Valhi, Inc., Tremont Group, Inc. and Valhi
                           Acquisition  Corp. II  (incorporated  by reference to
                           Exhibit 10.3 to the Quarterly  Report on Form 10-Q of
                           Valhi,  Inc.  for the  quarter  ended  September  30,
                           2002).

Exhibit 6                  Joint  Press  Release  of  Valhi,  Inc.  and  Tremont
                           Corporation  dated November 5, 2002  (incorporated by
                           referenced to the Form 425 filed by Valhi,  Inc. with
                           the Securities and Exchange Commission on November 5,
                           2002).

Exhibit 7                  Credit  Agreement  dated as of November 6, 1998 among
                           Valhi, Inc., the financial  institutions from time to
                           time  that  are a party  thereto  (the  "Banks")  and
                           Societe   Generale,    Southwest   Agency,   as   the
                           administrative   agent,  issuing  bank  and  arranger
                           (incorporated  by reference to Exhibit 1 to Amendment
                           No. 59 to this Schedule 13D).

Exhibit 8                  First  Amendment  Agreement  dated as of  November 5,
                           1999  among  Valhi,   Inc.,  the  Banks  and  Societe
                           Generale,  Southwest  Agency,  as the  administrative
                           agent of the  banks  (incorporated  by  reference  to
                           Exhibit 2 to Amendment No. 60 to this Schedule 13D).

Exhibit 9                  Second  Amendment  Agreement  dated as of November 3,
                           2000  among  Valhi,  Inc.,  the Banks  and U.S.  Bank
                           National  Association  as the  administrative  agent,
                           issuing bank and arranger  (incorporated by reference
                           to Exhibit 3 to Amendment  No. 15 to the Schedule 13D
                           filed on October  24,  2000 with the  Securities  and
                           Exchange  Commission  by Tremont  Holdings,  LLC,  NL
                           Industries,  Inc.,  Valhi,  Inc., Valhi Group,  Inc.,
                           National City Lines,  Inc., NOA, Inc.,  Dixie Holding
                           Company, Dixie Rice Agricultural  Corporation,  Inc.,
                           Southwest  Louisiana  Land  Company,   Inc.,  Contran
                           Corporation, the Harold Simmons Foundation, Inc., The
                           Combined  Master   Retirement  Trust  and  Harold  C.
                           Simmons with respect to the common  stock,  par value
                           $1.00 per share, of Tremont Corporation).

Exhibit 10                 Form of Accession  Agreement  dated as of December 1,
                           2000  among  Valhi,  Inc.,  the Banks  and U.S.  Bank
                           National Association,  as the administrative agent of
                           the Banks,  and the  related  promissory  note in the
                           original  principal amount of $5.0 million payable to
                           the  order of Texas  Capital  Bank  (incorporated  by
                           reference  to Exhibit 4 to  Amendment  No. 63 to this
                           Schedule 13D).

Exhibit 11                 Third  Amendment  of  Credit  Agreement  dated  as of
                           November  2, 2001 among  Valhi,  Inc.,  the Banks and
                           U.S. Bank National  Association as the administrative
                           agent,  issuing  bank and arranger  (incorporated  by
                           reference  to Exhibit 5 to  Amendment  No. 65 to this
                           Schedule 13D).

Exhibit 12                 Form of Accession  Agreement  dated as of January 15,
                           2002  among  Valhi,  Inc.,  the Banks  and U.S.  Bank
                           National Association,  as the administrative agent of
                           the Banks,  and the  related  promissory  note in the
                           original principal amount of $15.0 million payable to
                           the  order of PNB  Financial  Bank  (incorporated  by
                           reference  to Exhibit 6 to  Amendment  No. 65 to this
                           Schedule 13D).

Exhibit 13                 Form of Accession  Agreement dated as of February 15,
                           2002  among  Valhi,  Inc.,  the Banks  and U.S.  Bank
                           National Association,  as the administrative agent of
                           the Banks,  and the  related  promissory  note in the
                           original  principal amount of $7.5 million payable to
                           the  order of Texas  Capital  Bank  (incorporated  by
                           reference to Exhibit 10 to  Amendment  No. 66 to this
                           Schedule 13D).

Exhibit 14*                Fourth  Amendment  of  Credit  Agreement  dated as of
                           November  1, 2002 among  Valhi,  Inc.,  the Banks and
                           U.S. Bank National  Association as the administrative
                           agent, issuing bank and arranger.

----------

*        Filed herewith.