Mudcatter Q has moved on to the alumni Mudcatters in Heaven.

And between his opening post and now,
Libby Holman's recording has been featured
in a YouTube video. From which it may be demonstrated:

Libby Holman sings those verses and choruses
marked in parenthesis in the OP --
that is to say, the same verses and choruses
later recorded by Billie Holiday.

But don't take my word for it -- listen for yourself.
"Body And Soul" sung by Libby Holman