I knew a rather different version from my great uncle.
We used to do pat-a-cake to it:

Chaka-racka-choo-chine chang-alang-alora
chang-alang-alora, olla-polla wax
oker toker - hit 'im with the poker - itchy coo, itchy coo - cider!

This old man he went to sea, to see the sights of Alpeny.
He got drunk, and so you see, that was the end of the poor Chinee!

Chaka-racka-choo-chine chang-alang-alora
chang-alang-alora, olla-polla wax
oker toker - hit 'im with the poker - itchy coo, itchy coo - cider!