Allmusic.com lists 43 recordings of LEATHER BRITCHES. I listened to lots of sound samples, but they all seemed to be instrumentals except the one recorded by Spade Cooley. However, his song doesn't seem to be set to the same tune that everybody else is playing. It's attributed to Matty Holbrook while all the other recordings are called "traditional." Here are the words I was able to transcribe:

Watermelons, I used to steal 'em by the batch.
Then a farmer he caught me in his melon patch.
Leather britches, gun went off and I was gone.
Buckshot couldn't stop me 'cause I had no leather britches on.