I know the song "Ain't No More Cane on The Brazos," and realize that some versions of the lyrics contain the lines "Go down old Hannah/Don't you rise no more," but there is another entirely different song, presumably even older, entitled "Go Down Old Hannah," which I know from the singing of Pete Seeger.

It's obviously a work song, in a good sledgehammer-swinging tempo, which Pete sings without instrumental accompaniment. If I recall my long-gone recording correctly, it's from a live show and Pete does his characteristicly wonderful job leading the audience in classic call-and-response participation.

Incidentally, the version of "Brazos" that I know ~ as performed by The Band, among others ~ is NOT in 12-bar blues form, or even close. For a really entertaining rendition, I refer one and all to the film/DVD "Festival Express," wherein an extremely drunk Rick Danko and Janis Joplin sing it during the train ride, accompanied by Jerry Garcia on acoustic guitar.