When I was about 8, I lived in a small town about 3 hours from Indianapolis. One summer, my parents opened our house to a 10 year old Mexican girl Maria. She was participating in an inner city program to get kids out of the city for the summer.
Maria taught us this song: the old man from China, you just held the old longer. This version didn't say crazy or bald or boll legged like what I'm reading here.
I only remember a few verses, not sure of the order.
My mother she told me to open the door
But I didn't wanna
I opened the door, he fell through the floor
The old man from China.
My mother she told me to take off his coat
But I didn't wanna
I took off his coat
And out popped a goat
The old man from China.
My mother she told me to take off his hat
But I didn't wanna
I took off his hat, and out popped a rat
The old man from China.
The rest:
...to get him a drink
He swallowed the sink
That's all I remember