This comment is in tune with the rainy weather we're having in Pittsburgh today:

It just occurred to me that the cadence refrain "he ain't gonna jump no more" sounds very much like the African American antebellum dance song refrains "Ain't gonna {gwine} rain no more" and "Ain't gonna work no more."

Has anyone else written about this similarity?

I see that there is a thread for "Ain't gonna rain no more". I will post this observation there also.