Bel, my subconscious is now on your payroll too. Just don't expect it to do any useful work...

I think 'patty cake' is an American term but I have absolutely no idea what we called all those clapping rhyme games in the UK. And the only one I can remember is (done in parts - as many of you as there were stood around in a giant circle and I cannot remember the clapping rhythm at all):

"Who stole the cookies from the baker's shop?"
"Number one stole the cookies from the baker's shop?"
"Who, me?"
"Yes, you!"
"Couldna been!"
"Then who?"
"Number two stole the cookies from the baker's shop."
"Who, me?"
"Yes, you!"

...and so on ad infinitum, or until someone got it wrong or until the bell went.