I grew up in Chicago in the 60s and our song was very similar.

My mother told me to open the door
But I didn't wanna
I opened the door, he fell on the floor
Crazy Bald Headed Chinese, Chinese
Crazy Bald Headed Chinese

My mother told me to give him a fish
But I didn't wanna
I gave him a fish,he ate the dish
Crazy Blad Headed Chinese, Chinese
etc.

Lots of the same verses: gave him a drink, he ate the sink; took him to church, he ate his shirt; took him to a dance, he pulled down his pants;
Last verse: Take him for a ride, he fell out and died.

I was glad to see these posts today and learn I'm not the only one with that song still stuck in her head.