I recently listened to some Billie Holiday songs. She has a version of Nobody's Business. The lyrics are identical to the Bessie Smith one, but Holiday takes it slower and speaks more clearly, so you can actually follow it without the lyrics in front of you.

There is also a version that I have forgotten about except for the one verse:

If one day we got ham and bacon// and the next day aint nothin taken// It's nobody's business but my (our) own.// If me and my baby want to fight// and the next moment we' alright// It's nobody's business....

Murray