Lots of different versions of this song! My mother would sing a version of this when my brothers and I were children - 1950's. She also loved to sing Johnny Rebeck to us. These are the words she taught us:

There once was a Chinaman, who lived in old Japan,
His name was Chick-a-rie, Chick-a-rie Chan.
His feet were long, his toes were short
And this is the way the Chinaman talked,

(refrain)
"Chick a churie, che-li-che-lo, chick-a-rie romeo in a banana go
Wallago, wallago, chan-a-sea, in a banana go, wallago chow"

This Chinaman he had great wealth
He lived in a mansion all by himself
His neighbors built for him a boat
And in it they put the Chinaman afloat

(refrain)

The Chinaman he did die and in his coffin he did lie.
They sent him back to old Japan
And this is the way his epitaph ran

(refrain)