This isn't a very good transcription, but it's a start. Can others listen and add corrections?
-Joe-

RUN PETE RUN
(Jimmy Martin)

[spoken] Hey, all you coon hunters,
Speak to 'em, Pete. (barking)
Man, just listen to what a jaw on a dog.

Well the dog's out running on a Saturday night
The boss man's yellin', everything's all right.
We're gonna catch a coon and we're gonna skin 'er
The preacher man's a-comin' for a Sunday dinner.

Run Pete run, fast as you can
Gotta catch a coon for the preacher man
Run Pete run, fast as you can
Gotta catch a coon for the preacher man

Sister, get the broom and scrub the walls
Gotta have 'em clean before the preacher calls
Granny's in the kitchen, rolling the dough
Mama's in the living room, scrubbing the floor.

Run Pete run, fast as you can
Gotta catch a coon for the preacher man
Run Pete run, fast as you can
Gotta catch a coon for the preacher man

Buddy Lee's in the 'tater (patch?), a-diggin' up 'taters
Lisa Ferrel's (?) in the garden, pullin' off 'maters.
Well, Jimmy's on the back porch, shucking the corn,
Waitin' for the preacher man to toot his horn.


Run Pete run, fast as you can
Gotta catch a coon for the preacher man
Run Pete run, fast as you can
Gotta catch a coon for the preacher man

[and then another spoken part that I didn't transcribe]

Transcribed from this YouTube video. I had problems understanding a number of the words. Can anyone help?

This video is better. Why didn't I find it first? This one, too.