HI,
Texas Instruments would be the way to go for the most compatibility.
You can see if you system uses a TI chip set by going to the device manager and look under "IEEE-1394 Bus Host Controllers".
The sub heading will say "Texas Instruments OHCI Compliant IEEE-1394 Host Controller". If it says something other than that then it is not a a TI chip set. I could be either VIA or NEC or RICOH all of which can have compatibility problems. If you machine does not have the TI chip set then the easiest thing to do would be to pick up a TI chip set based Fire wire PCI or PCI-e card and install the fire wire audio device on that instead of the on board.
If you are running Windows XP SP2 then you might want to also try the Firewire hotfix Microsoft has. It does require a reg edit so you would want to be real careful.
http://support.microsoft.com/kb/885222
Chris