Rick is correct. Your Foxpro settings are defaulted to give the Foxpro session exclusive rights to any table opened by the "use" command.
When you are opening the table, while the VB app is running, you are stumbling over one another.
I'm assuming that you are double clicking the DBF files in Windows Explorer and opening them and not using the "use" command in Foxpro to view the tables. If you only want to do it that way, then (in VFP 9) close all sessions but one of VFP. Goto Tools->Options->Data Tab and uncheck "Open Exclusive". Now close that session. This will save the settings. The next time you double-click a DBF/DBC, it will open all tables with "shared" access.
Otherwise, to access the tables from within VFP using the "use" command, do:
For exclusive access:
use in 0 exclusive <table-file-path>
For shared access:
use in 0 shared <table-file-path>
You can also give it a noupdate flag to make it read-only. (The safe way to query.)
use in 0 exclusive noupdate <table-file-path>
or
use in 0 shared noupdate <table-file-path>
From the way I understand it, the main problem is with VB taking over "exclusive" rights to the database and crashing when you have the table open (shared or otherwise.)
However, it sounds more like a timing issue than a Foxpro one. Assuming you don't have access or permission to rewrite the VB app, the only other alternative is to find a time that the main VB app isn't running (late at night, perhaps?) and have the run a Foxpro query (.PRG file) on a scheduler. The query could copy out to another file, such as Alex suggested.
The command to run a Foxpro program is easy:
foxpro <program-name>.prg
That can go in a .bat or .cmd file which is run by a generic scheduler.
However, there is a catch:
It is always better to compile the .prg from within VFP yourself, rather than let VFP compile it for you (which it will if you don't.) Also, if you make a change and don't recompile, VFP will use the last compiled version (just to spite you.)
If you already knew this stuff, sorry for the overkill.
Good luck.