My mother heard this song probably in the 30's. This is how and what she remembered, as well as one uncle. They seem to be the first and last verses. She knew there were other verses but did not recall them. (not sure on the spelling) I would love to piece together more verses.

There was a man from Chineytown
His name was Chicory Chang Chang Chang
And his legs were short and his feet were small
And this little man couldn't walk at all.
(refrain) Chicory Chiney iney go Dan
Billy de dink come after me
Curie me task and gallopy-o
Gallopy wallopy Chiney-o.

At last this little man did die
And in his coffin he did lie
They carried his bones back to the pen,
And that was the end of the Chiney-man. (repeat refrain)