Just to add to the variants.
Hull, Yorkshire 1950s, with actions.

I'm a little teapot short and stout,
Here's my handle, here's my spout,
When I get me steam up hear me shout,
Tip....me up...and pour me out.

I have a mental image of Arthur Askey performing it but I may be mixing it up with 'I'm a busy busy little bee.'