UNITED STATES LIME & MINERALS INC
SC 13D/A, 2000-09-19
MINING & QUARRYING OF NONMETALLIC MINERALS (NO FUELS)
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<PAGE>   1
                                UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549



                                 SCHEDULE 13D

                  UNDER THE SECURITIES EXCHANGE ACT OF 1934
                               (AMENDMENT NO. 4)*

     United States Lime & Minerals Inc. (formerly Scottish Heritable Inc.)
--------------------------------------------------------------------------------
                               (Name of Issuer)


                     Common Stock $0.10 par value per share
--------------------------------------------------------------------------------
                        (Title of Class of Securities)


                                  752800 102
--------------------------------------------------------------------------------
                                (CUSIP Number)


                                George M. Doumet
                                 Vice President
                           Inberdon Enterprises Ltd.
                             1020 - 789 West Pender
                      Vancouver, British Columbia V6C 1H2
--------------------------------------------------------------------------------
                (Name, Address and Telephone Number of Person
              Authorized to Receive Notices and Communications)


                               September 5, 2000
--------------------------------------------------------------------------------
           (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 which is the subject of this Schedule 13D, and is
filing this schedule because of Rule 13d-1(b)(3) or (4), check the following box
[ ].

         Check the following box if a fee is being paid with the statement [ ].
(A fee is not required only if the reporting person: (1) has a previous
statement on file reporting beneficial ownership of more than five percent of
the class of securities described in Item 1: and (2) has filed no amendment
subsequent thereto reporting beneficial ownership of five percent or less of
such class.) (See Rule 13d-7.)

         NOTE: Six copies of this statement, including all exhibits, should be
filed with the Commission.  See Rule 13d-1(a) for other parties to whom copies
are to be sent.

*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)

                              (Page 1 of 4 Pages)
<PAGE>   2


CUSIP No. 752800 102             SCHEDULE 13D                 Page 2 of 4 Pages


  (1)     Names of Reporting Persons
          S.S. or I.R.S. Identification Nos. of Above Persons
          Inberdon Enterprises Ltd.
          ---------------------------------------------------------------------

  (2)     Check the Appropriate Box if a Member of a Group*         (a)   [   ]
                                                                    (b)   [   ]

          ---------------------------------------------------------------------

  (3)     SEC Use Only

          ---------------------------------------------------------------------

  (4)     SOURCE OF FUNDS*
          AF
          ---------------------------------------------------------------------

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

          ---------------------------------------------------------------------

  (6)     Citizenship or Place of Organization
          British Columbia, Canada
          ---------------------------------------------------------------------

                       (7)     Sole Voting Power
  Number of                    2,029,923
   Shares              --------------------------------------------------------
 Beneficially          (8)     Shared Voting Power
  Owned by                     0
    Each               --------------------------------------------------------
  Reporting            (9)     Sole Dispositive Power
 Person With                   2,029,923
                       --------------------------------------------------------
                       (10)    Shared Dispositive Power
                               0
                       --------------------------------------------------------

 (11)     Aggregate Amount Beneficially Owned by Each Reporting Person
          2,029,923
          ---------------------------------------------------------------------

 (12)     Check Box if Aggregate Amount in Row (11) Excludes Certain
          Shares*                                                         [  ]

          ---------------------------------------------------------------------

 (13)     Percent of Class Represented by Amount in Row (11)
          Approx. 51%
          ---------------------------------------------------------------------

 (14)     Type of Reporting Person*
          CO
          ---------------------------------------------------------------------
                    *SEE INSTRUCTIONS BEFORE FILLING OUT!
         INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
     (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.


<PAGE>   3


     This statement amends and supplements the Schedule 13D filed with the
Securities and Exchange Commission dated May 10, 1993 by Inberdon Enterprises
Ltd., a British Columbia corporation (the "Company"), relating to the common
stock, $0.10 par value (the "Common Stock"), of United States Lime & Minerals
Inc. (the "Issuer"). Except as disclosed herein, there has been no change in the
information previously reported in Schedule 13D.

Item 5.   Interest in Securities of the Issuer.
          ------------------------------------

          Item 5 is hereby amended and supplemented by adding thereto the
          following:

     (a)  The Company beneficially owns 2,029,923 shares of Common Stock,
          representing approximately 51% of the outstanding Common Stock.

     (c)  The Company purchased 16,475 shares of Common Stock on September 5,
          2000 directly from the previous owner, at a purchase price of $6.625
          per share.

                               Page 3 of 4 pages
<PAGE>   4

                                   SIGNATURE

     After reasonable inquiry and to the best of the knowledge and belief of the
undersigned, the undersigned certifies that the information set forth in this
statement is true, complete and correct.


Dated:     September 15, 2000


                                          INBERDON ENTERPRISES LTD.






                                          By:   /s/ Elizabeth Sears
                                                -------------------
                                                Elizabeth Sears
                                                Vice President


                               Page 4 of 4 pages


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