This is the version my Mum, nanna and great grandma used to sing to me, I'm from the north of England and was searchin to see if this was an actual song, i cant believe there's so many versions. anyway it went;

In china once there lived a great man
his name was chik-o-rak-a-chee-chi-chan
his legs were long and his feet were small
and that chinaman couldnt walk at all

so its...
chee chi chuckle oh cho chuckle oram
candy norum in a pee nam
cat-go two-go etty-gitty-gotty-go
addi-pi addi-pi china go

there were quite a few more verses but i cant remember them and me great grandmas dead n she always sang it the best.