My dad use to leeringly sing the last two lines thusly, if memory serves me:
"She's got a pair of (jugs? dugs? doves?)
Big as Jack Dempsey's gloves.
Hot dog! That's where my money goes!"
Since I was too young/naive to process this at the time, I'm hazy on the word that rhymed( or maybe didn't) with gloves: I could be way off. I have completely forgotten any parts of the song that preceded these lines, though I don't think they involved any corkers or New Yorkers. Would be fun to know what the words were.
But, as far as I could tell, he seemed to be singing to the tune of the "Weenie Man" song, the above words with the part that goes:
"Some day I'll be his wife,
His little weenie wife.
Hot dog! I love my weenie man!"
My mom always gave my dad the stink-eye at these kinds of outbursts. I think he probably picked this ditty up while in the U.S. Navy during WWII, which seems to resonate with a previous response above.