Not only was it compiled from English sources, but it was first published in 1947. So there are both the separation in space and the separation in time that factor into you not being familiar with so many of them.

A variation that I learned:
Eeny meeny miney moe
catch a tiger by the toe
if he hollers, let him go,
my mother told me to pick the very best one and you are not it you dirty dirty dish rag you

(obviously one for choosing who wasn't it)