QRS CORP
SC 13G, 1999-02-17
COMPUTER PROGRAMMING, DATA PROCESSING, ETC.
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<PAGE>
 
                      SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                  SCHEDULE 13G


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



                                QRS CORPORATION
                                ---------------
                                (Name of Issuer)

                        Common Stock ($0.001 Par Value)
                        -------------------------------
                         (Title of Class of Securities)

                                   74726X105
                                   ---------
                                 (CUSIP Number)

Check the following box if a fee is being paid with this statement [ ].

(A fee is not required only if the filing 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.)

* 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 the
disclosures provided in a prior cover page.

The information required in 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 6 Pages
<PAGE>
 
CUSIP No. 74726X105                 Page 2 of 6
- -------------------                 -----------


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

          Brown Investment Advisory & Trust Company ("BIATC"), its wholly owned
          subsidiary, Brown Advisory Incorporated ("BAI").  52-1811121

2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
          (a)  [ ]
          (b)  [x]

3.  SEC USE ONLY

4.  CITIZENSHIP OR PLACE OF ORGANIZATION

          Brown Investment Advisory & Trust Company and Brown Advisory
          Incorporated are Maryland corporations.

    NUMBER OF        5  SOLE VOTING POWER
    SHARES           BIATC    203,736 shares
                     BAI      609,667 shares
                            ---------
                              813,403 shares
 
    BENEFICIALLY     6  SHARED VOTING POWER
    OWNED BY         BIATC          0 shares
                     BAI            0 shares
                            ---------
                                    0 shares


    EACH REPORTING   7  SOLE DISPOSITIVE POWER
    PERSON WITH      BIATC    230,286 shares
                     BAI      609,667 shares
                            ---------
                              839,953 shares


                     8  SHARED DISPOSITIVE POWER
                     BIATC          0 shares
                     BAI            0 shares
                            ---------
                                    0 shares
<PAGE>
 
CUSIP No. 74726X105                 Page 3 of 6
- -------------------                 -----------

 9.  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
                 BIATC   230,286 shares
                 BAI     609,667 shares
                       ---------
                         839,953 shares

10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES* [ ]

11.  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

                 BIATC    2.7%
                 BAI      7.2%
                        -----
                          9.9%

12.  TYPE OF REPORTING PERSON*

                 BIATC - BK
                 BAI - IA

               *SEE INSTRUCTIONS BEFORE FILLING OUT
               ------------------------------------

Item 1. (a) NAME OF ISSUER:   QRS Corporation

        (b) Address of Issuer's Principal Executive Offices:

            1400 Marina Way, Richmond, CA 94804

Item 2. (a) NAME OF PERSON FILING:

            Brown Investment Advisory & Trust Company ("BIATC"), its wholly
            owned subsidiary, Brown Advisory Incorporated ("BAI").

        (b) ADDRESS OF PRINCIPAL BUSINESS OFFICE:

            19 South Street
            Baltimore, Maryland 21202

       (c)  CITIZENSHIP:

            Brown Investment Advisory & Trust Company and Brown Advisory
            Incorporated are Maryland corporations. 
<PAGE>
 
CUSIP No. 74726X105                 Page 4 of 6
- -------------------                 -----------

     (d)  TITLE OF CLASS OF SECURITIES:

          Common Stock of ($0.001 Par Value) of QRS Corporation

     (e)  CUSIP Number:

          74726X105

Item 3. If this statement is filed pursuant to Rules 13d-1(b), or 13d-2(b),
         check whether the person filing is a:

        For BIATC

     (b)  [x] Bank as defined in section 3(a)(6) of the Act

          For BAI

     (e)  [x] Investment Adviser registered under section 203 of the Investment
          Advisers Act of 1940

Item 4.   OWNERSHIP:

     (a)  AMOUNT BENEFICIALLY OWNED:    As of December 31, 1998

                    BIATC    230,286 shares
                    BAI      609,667 shares
                           ---------
                             839,953 shares

     (b)  PERCENT OF CLASS:

                    BIATC    2.7%
                    BAI      7.2%
                            ----
                             9.9%

     (c)  Number of shares as to which such person has:

          (i) sole power to vote or to direct the vote:

                    BIATC    203,736 shares
                    BAI      609,667 shares   
                           ---------
                             813,403 shares
<PAGE>
 
CUSIP No. 74726X105                 Page 5 of 6
- -------------------                 -----------

        (ii)  shared power to vote or to direct the vote:

                  BIATC         0 shares
                  BAI           0 shares
                        ---------                        
                                0 shares


        (iii) sole power to dispose or to direct the disposition of:

                  BIATC  230,286 shares
                  BAI    609,667 shares
                       ---------                        
                         839,953 shares

        (iv)  shared power to dispose or to direct the disposition of:

                  BIATC         0 shares
                  BAI           0 shares
                        ---------                        
                                0 shares

Item 5.  OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS.

         Not applicable

Item 6.  OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON.

         Not applicable

Item 7.  IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH ACQUIRED THE
         SECURITY BEING REPORTED ON BY THE PARENT HOLDING COMPANY.

         Not applicable

Item 8.  IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP.

         Not applicable


Item 9.  NOTICE OF DISSOLUTION OF GROUP.

         Not applicable
<PAGE>
 
CUSIP No. 74726X105                 Page 6 of 6
- -------------------                 -----------

Item 10. CERTIFICATION.


       By signing below I certify that, to the best of my knowledge and belief,
       the securities referred to above were acquired in the ordinary course of
       business and were not acquired for the purpose of and do not have the
       effect of changing or influencing the control of the issuer of such
       securities and were not acquired in connection with or as a participant
       in any transaction having such purpose or effect.


       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:  As of December 31, 1998

       Signature:  Brown Investment Advisory & Trust Company

          By: /S/ Gregg W. Hawes
 
       Title:  Principal

       Signature:  Brown Advisory Incorporated

          By: /S/ Gregg W. Hawes
 
       Title:  Principal


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