Dad used to sing a different version as below. I just googled the first line which is the same and this is the most I could find. I was hoping to learn the rest of what I remembered, but perhaps he made up his own version. As below.

There was a little man and he had a little horse,
He came to a river by he couldn't get across.

Singing hey jimmy ho, jimmy come along with me
Singing hey jimmy ho jimmy Johnson

He tried to catch a fish, but he caught a bloomin crab
So he sent it back home in a black and white cab

Singing hey jimmy ho, jimmy come along with me
Singing hey jimmy ho jimmy Johnson

Hey mrs, hey mrs, cook this up for me
I gotta have a shower and I gotta have a pee

Singing he jimmy ho jimmy come along with me
Singing hey jimmy ho jimmy Johnson

Hey doc, hey doc, you better come quick
The crab's got his claw, where I ought to have my dick

Can't remember the rest and i probably missed or mixed up some parts but any help or similar version would great.