Sounds very like "Joe Moggins". Sung by Cyril Poacher and most probably an English music hall song, with some floating verses.

My name is Joe Moggins, a farmer am I,
I once courted a pretty girl who felt rather shy.
I fell in the water tank, got nearly wet through.
Then she said, "Yo! me love! Won't you come in and dry yourself?"
"I'm a careless young lad, I don't care if I do."

I went down to the kitchen, I made things alright.
Ten pound of fat tiger(?) I popped out of sight.
Then she said," Yo! Have a dumpling or two."
"I'm a careless young lad, I don't care if I do."

I hugged her, I squeezed her, 'til lovers' delight.
She wanted for to get married all on that same night.
Then in come the parson, book in his hand,
From this book these very words said,
"Better or worse, take her and go."
"I'm a careless young lad, I don't care if I do."

And now we are married and happy live we,
We've got no little children to hop round our knee.
Then she said, "Yo! We'll have a dozen or two."
"I'm a careless young lad, I don't care if we do."

:-)