I have a book called The Leadbelly Legend. The version given goes like this:

JIM CROW
Bunk Johnson told me, too,
These old Jim Crow-isms dead bad luck for me an' you.

I been trav-lin', i been trav-lin' from sho' to sho';
Ev-'ry where I have been I find some old Jim Crow.

One thing, people, I want ev'rybody to know,
You gonna find some Jim Crow ev'ry place you go.

Down in Louisiana, Tennessee, Georgia's a mighty good place to go,
An' get together, break up this old Jim Crow.

I told everybody over the radio,
Make up their mind an' get together, break up this old Jim Crow.

I want to tell you people somethin' that you don't know,
It's a lotta Jim Crow in a movin' picture show.

I'm gonna sing this verse, I ain't gonna sing no more,
Please get together, break up this old Jim Crow.