It popped into my head, about 25 years later, a rhyme that was sung along with a slapping game when I was a kid. Interesting to see the variations and that the variation I remember was from the same city as mentioned on this page - Austin, Texas.

While waiting for a bus to pick us up for summer Adventure Camp activities at Zilker Park Nature Center, we'd sit in a circle holding hands. Your right hand would be under the person's hand to your right and on top of the person to your left. This song would be sung and with the beat, a chain of hand slapping would pass around the circle. When your left hand was slapped by the person to your left, you'd slap the hand to the person to your right. I recall on the last word in the rhyme, "mush", the person who was slapped was 'out' and the circle would shrink. The winner would be the last person remaining.

I don't recall this rhyme from anywhere in my childhood (including schools or other summer camps), other than Adventure Camp based out of the Austin Nature Centre.

The Rhyme:

"Crocadilly oomp bop croc croc croc.
Dance to the chigger chigger chigger rock.
Fallow, fallow, fallow, fallow, fallow,
Fallow hopscotch chigger mush"