Rex,

I hate to stir things up, but I wonder if the song in question is something your kids heard at school, maybe what they heard was what I'm remembering as a "jump rope song" instead of this 50's song Shimmy Shimmy Ko-Ko-Bop. What I remember from memory (we're talking LONG term memory here...) goes like:

Down, down baby
Down by the roller coaster
Sweet sweet baby
I'll never let you goShimmy shimmy ra
Shimmy shimmy ko ko bop
Shimmy shimmy ra
I met a girlfriend a triscuit
She said a triscuit a biscuit
Ice cream, soda pop,vanilla on the top
something, something
Walking down the street, 10 times a week
I said it, I meant it
I stole my momma's credit
I'm cool, I'm hot
something, something

Then again, this may be totally NOT what you're kids had in mind. The reason I think so is because you are calling it "Downtown Baby" and that is the first line to this jump rope song.

Rose