The ones you quote are mostly 'floaters'. Here is a version from a recording by an Arkansas string band, Dr Smith's Champion Hoss Hair Pullers'. Like H.M. Barnes, mentioned in another recent thread, Dr Henry Harlin was a non-playing member of the band. This transcription is by a mate of mine, Stan Gottschalk, who used it as the title song for a workshop on Mississippi River songs - it accords with a transcription by Dr Bill McNeil in the booklet accompanying the beaut 3CD set from the Center for Arkansas and Regional Studies 'Somewhere in Arkansas: Early Commercial Country Music Recordings from Arkansas 1928-1932'.

GOING DOWN THE RIVER
(Traditional)

I had a wife, she was a weaver
She wouldn't work none and I wouldn't neither

I had a wife and she was a quaker
She wouldn't work and the devil couldn't make her

Oh, little girl, if you don't do me better
I'll build me a boat and I'll sail it down the river

Boat begin to rock, I begin to quiver
Oh, little girl, I'm a-going down the river

Goodbye wife and goodbye baby
Goodbye biscuits sopped in gravy

When I get away, I'll write no letter
But I'll come back when I get a little better

Coon Creek's wide and Coon Creek's muddy
I'm so drunk that I can't stand steady

Source: Dr Smith's Champion Hoss Hair Pullers on Victor, recorded 12 September 1928 in Memphis. Reissued on Various Artists 'Echoes of the Ozarks Vol 2' County CD-3507.

--Stewie.