Joe, your Billy Barlow (2) of 1836 is the one performed by Jack Reeve but is missing three verses in the sheet music published by George Endicot, New York.
Verse 5 I went to the races on Long Island so gay, The man at the gate he ask'd to pay; What pay, says I, and I looked at him so, Pass on Sir, I know you, you're Mr. Barlow.
Verse 6 I had been on the track, but a minute or two, Before the people flocked round me, what I tell you is true; Whose that little fat Gentleman, does any one know, Yes says a young lady, that's Mr. Billy Barlow.
Verse 7 There's a nigger been here, who they say was Jim Crow, But he cleared out the moment I came, you must know; If you doubt what I say, I can prove it is so, Just look at the rigging of Billy Barlow.