It's a very simple song. There's only three chords used throughout the whole thing.Verse 1:B BYou made me cryB Bwhen you said goodbyeChorus:EAin't that a shameBMy tears fell like rainEAin't that a shameF#You're the one to blame.Repeat for all verses.
Source: http://www.azchords.com/f/fatsdomino-tabs-47318/aintthatashame1-tabs-431316.html