I'd bet the best place to find that information would be the credit roll if the song's a part of the original game. Sometimes they're uncredited, though.
If it wasn't, but got released on a CD later, it's possible they may have put that information on the CD insert.
EDIT: I can confirm Koi Kaze has that information, but I want some sleep so I'll just give you guys a pic. Deciphering names kinda sucks.
