I learned a version of this song decades ago that accompanied a hand-clapping game played by children (including me when I was a child). It was always sung quite fast, and the object of the game was to go as fast as you could without messing up.

The clapping game was on an 8-count rhythm, so I'll put in the counts with the lyrics as I learned them. If you want to play the game (or teach it to your kids), I've included the clap sequence at the bottom.

I .. know .. a gal, I do, and her
1 2 3      4    5    6 7   8

name .. is .. Slew-Foot Sue. She's
1       2 3 4 5       6       7      8

chief engineer of the old steam laundry
1       2    3      4      5    6       7   8

down by the Riverside Zoo. .. .. ..
1       2          3      4    5      6 7 8

Form .. is .. all she has, she has a
1       2 3 4 5   6    7          8

face .. like .. a soft-shelled crab. Every
1      2 3    4    5    6         7       8

night she has a tussle with her patent-leather bustle, and the
1            2       3       4          5         6          7         8

boys think she is .. pretty bad. ..
1      2       3    4 5 6       7      8

To play: Two people sit Indian-style, facing each other.
1 - Slap both hands on thighs
2 - Clap both hands together
3 - Clap each others hands - your right to other's left and vice versa
4 - Clap both hands together
5 - Clap each others right hands - you will reach across diagonally
6 - Clap both hands together
7 - Clap each others left hands - you will reach across diagonally
8 - Clap both hands together