Hey all, had this randomly stuck in my head today so came searching for the origin.
I am from Australia and in my childhood in the early 80s we used to sing:

Jingle Bells, Batmans smells
Robin ran away
Wonder woman lost her boots*
Flying T-A-A**

*sometimes substituted with the word boobs if no adults were around
** TAA was an airline in Australia in the early 1980s

Haha, so funny how different the versions are in different parts of the world!