My Drandad (Clifford Owen) sang me this version:

There was a man from Chinatown his name was Licka Lacka Lee Law Chan
His head was tall and his feet were small and this little man had no nose at all
Licka Lacka Lee Law Hey Indora Icky Picky Pikey OK

They rolled him in the park one day and frightened all the kids away
They rolled him here, they rolled him there, they rolled him in a bamboo chair.
Licka Lacka Lee Law Hey Indora, In-Di-Ora, Icky Picky Pikey OK

Crappy lyrics but great memories :)