Ironic, since it was actually written (I don't know about composed) in 1843. (Having just done this for Oregon Trail, I have it at my fingertips.)

It's a "zipper song" format, so you can zip in as many verses as you want. There are several about dancing

(Old Joe Clark and I fell out
Know the reason why
He stepped on and broke my toe
So I kicked him in the thigh