I think someone has been yanking your chain mate as I'm 6'3" and did my PPL years ago in C150's and C152's no problem.
The only real issue you'll have is if your a bit on the "Wide" side as elbow room can be a bit lacking and it all gets a bit too cozy !!
Why don't you just nip down to your local club and have a seat in one with an instructor beside and see how you fit ?
I only ever once remember banging my head and that was during some very nasty turbulence up towards Wick with my lap belt not done up tight enough. (rectified very quickly afterwards!!)