Also, here is the version I grew up hearing:

The Chinaman Song

There was a Chinaman a very rich man his name was Chicory Chi Chi-An
His legs were short and his feet were small........
This Chinaman could not walk at all
Ohhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Chicory Chi Good Try Good Day - Diddle Dee Come Happy May
Curie-me kissed & dandy oh, Galloping Walloping Chi-nee-o

The lady from the very next house came up the hill to help him about
From top to bottom they stumble and fall
This Chinaman could not walk at all
Ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Chicory Chi Good Try Good Day - Diddle Dee Come Happy May
Curie-me kissed & dandy oh, Galloping Walloping Chi-nee-o