Followup--I tried to build mysql from within Qt, by opening mysql.pro. I added
Qt Code: 
  1. INCLUDEPATH += "C:\Program Files\MySQL\MySQL Server 5.1\include"
  2. LIBS += "C:\Program Files\MySQL\MySQL Server 5.1\lib\opt\libmysql.lib"
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I ran qmake, clean, and then build, and got a list of undefined reference errors:

tmp/obj/debug_shared/qsql_mysql.o: In function `codec':

C:\Qt\2010.05\qt\src\plugins\sqldrivers\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:223: undefined reference to `mysql_character_set_name@4'

tmp/obj/debug_shared/qsql_mysql.o: In function `qMakeError':
C:\Qt\2010.05\qt\src\plugins\sqldrivers\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:234: undefined reference to `mysql_error@4'

C:\Qt\2010.05\qt\src\plugins\sqldrivers\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:237: undefined reference to `mysql_errno@4'

tmp/obj/debug_shared/qsql_mysql.o: In function `qMakeStmtError':

C:\Qt\2010.05\qt\src\plugins\sqldrivers\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:309: undefined reference to `mysql_stmt_error@4'

C:\Qt\2010.05\qt\src\plugins\sqldrivers\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:312: undefined reference to `mysql_stmt_errno@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:358: undefined reference to `mysql_stmt_result_metadata@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:362: undefined reference to `mysql_num_fields@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:369: undefined reference to `mysql_fetch_field@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:432: undefined reference to `mysql_free_result@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:438: undefined reference to `mysql_store_result@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:440: undefined reference to `mysql_free_result@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:437: undefined reference to `mysql_next_result@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:446: undefined reference to `mysql_stmt_close@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:452: undefined reference to `mysql_free_result@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:496: undefined reference to `mysql_stmt_data_seek@12'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:498: undefined reference to `mysql_stmt_fetch@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:513: undefined reference to `mysql_data_seek@12'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:514: undefined reference to `mysql_fetch_row@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:529: undefined reference to `mysql_stmt_fetch@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:544: undefined reference to `mysql_fetch_row@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:565: undefined reference to `mysql_stmt_num_rows@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:570: undefined reference to `mysql_num_rows@4'

tmp/obj/debug_shared/qsql_mysql.o:C:\Qt\2010.05\qt\src\plugins\sqldrive rs\mysql/../../../sql/drivers/mysql/qsql_mysql.cpp:614: undefined reference to `mysql_fetch_lengths@4'

... many more'
Anybody know what this is about? Thanks--

Matt