This is my mother's version from Knoxville, TN. She sang to me back in 1950. Forgive the spelling.

In China there once lived a man
Whose name was Iko Chicory Chan
Rudamee Cutty Dusty-o
Willabee Wallabee Chiney-o

Iko Chiko Chicory Chan
Iko Chiko Chinaman
Rudamee Cutty Dusty-o
Willabee Wallabee Chiney-o

One day the Chinaman did die
And in his coffin he did lie
They carried him over to Japan
And that was the end of the Chinaman