allmusic lists the following variant titles, and the people who recorded them:

AIN'T NO CANE ON THE BRAZOS – The Band

AIN'T NO MO' CANE ON DIS BRAZOS - Linda Tillery & the Cultural Heritage Choir

AIN'T NO MORE CANE – The Band, Rod Clements, Bert Jansch, Delbert McClinton, Son Volt

AIN'T NO MORE CANE ON THE BRAZOS – Lonnie Donegan, Ian Gillan and the Moonshiners, Bill Staines, John Stewart, Ernest Williams

AIN'T NO MORE CANE ON THIS BRAZIS – Alan Lomax

AIN'T NO MORE CANE ON THIS BRAZOS – The Mitchell Trio, Ernest Williams

CANE ON THE BRAZOS – Crowbar, Rick Shea

NO MORE CANE ON THE BRAZOS – Eric Bibb, The Bluebirds, Tommy Elskes, Bob Gibson, Ian Gillan, Odetta, Chris Smither

Oddly, although this song is sometimes attributed to Leadbelly—when it isn't called "traditional"—I can't find any evidence that Leadbelly recorded it.