How do I recover Game Center password if its different then my Apple ID password. This for my sons iPod, he created this account for his games but cant remember the password. I tried the forgot password option thinking it would reset it for him but it didnt since he has his own password for it. How do we find the password he created?
This is a common confusion point.
All apple accounts are AppleID and you can/should first go try to reset or recover the password for each account at https://iforgot.apple.com
Any use of Apple accounts on iOS (messages, FaceTime, game center, app store, iCloud) are necessarily first AppleID accounts - so mixing several of these on one device can cause a little confusion on which password belongs to which.
There is no Game Center account or password retrieval (nor any other account) other than the main iforgot page. You can go in and check your AppleID and learn more at https://appleid.apple.com