You should be able to view the properties of the controller via device manager in the current install, locate the inf, and any files that it references inside of it for it to operate, instead of injecting them into an installer via ntlite it'll be easier to try them using the F6 during setup portion of xp's install. You should be able to have them on a flash drive and try them that way. You can also download and old version of good 'ol devcon.exe which allows you to backup devices and their drivers from the command line.
I believe devcon was created for Server 2003 however runs on XP SP3 or later just fine. You'll have to do some digging to find it along with decent instructions however.
If I knew the model of laptop/motherboard I...