See another version of "Ching Ching Chinaman" that has no reference at all to Chinese people:

"Choo Choo Charlie Sitting on a bench ...
Tryin to make a dollar outta 15 cents
he missed he missed he missed like this...

Its one of those clap games....did it when i was in 2nd or 3rd grade"

posted by brittanie at December 4, 2005 on http://blog.oftheoctopuses.com/000518.php
[re-posted by Azizi with the permission of that blog's members]