Funny, as I get older, now early 60's, I remember less of the words. I learned it in a summer camp, or a weekend retreat of some sort in H.S. I sang it all the time, so it bothered me now. I decided to search for it, thinking I wouldnt find anything. I thought it was something made up, where ever I was. A silly jingle.
I suppose that might account for many differences. Memory, where you lived (NY), your age when you 1st heard it, how or who you learned it from, etc. Also seems like as it gets passed on, it changes. Like the game "telephone".
Some were so very "wrong" and I was getting disappointed reading the posts down the feed. Until I found this one! Its the song as I knew it- word for word!!!! Even the comment that it was sung quickly.
I copied the post from above. Thanks so much to Guest, Jim O. I wonder if you'll see my reply after all these years. I can sleep tonight & go back to singing it in the shower, lol

Original post:

Subject: RE: Origins: Slough-foot Sue? / Slewfoot Sue
From: GUEST,Jim O
Date: 18 Dec 10 - 01:55 AM

My grandmother was born in england in 1918 and move to chicago. My grandmother sang this song to my mother, who was born in 1938: My mother in turn sang the song to my sisters and me. The song went like this:

There once was a girl I knew and her name was slew foot Sue. She was the chief engineer at the shirttail factory down by the riverside view. Her form was all she had. She had a face like a soft shell crab. Every night she use to tussel with the buttons on her bussell boy was she mad.

It was sang quickly.

Oh the memories.