My Mom and Grandma ALWAYS sang something like this to us growing up:

In China lived a China man,
His name was Chingery Chingery Chan Chan Chan
His legs were long, his body tall,
This China man could not walk at all, so...

Chingery Chingery Ring-O-Ray
Fiddelie-D and a Happy-May
Cure my Fiz and a Cappie-O
Collipe-Wallapie-Ching-Ho

This China man had plenty of wealth,
He lived in a house all by himself,
He worked his servants next to the bone,
Now wasn't this man a curious drone? so...

Chingery Chingery Ring-O-Ray
Fiddelie-D and a Happy-May
Cure my Fiz and a Cappie-O
Collipe-Wallapie-Ching-Ho