I don't know the Bessie Smith version (much as I'd like to), but here are a few additional verses not in the DT:

Love my mother and my father, too.
Love my mother and my father, too.
Love my mother and my father, too,
Gonna leave them both and go with you.

What, oh what would mama say?
What, oh what would mama say?
What, oh what would mama say
If she knew I was in the family way?

She'd tear her hair, she'd bite her tongue.
She'd tear her hair, she'd bite her tongue.
She'd tear her hair, she'd bite her tongue
'cause she did the same when she was young.

What, oh what would papa say?
What, oh what would papa say?
What, oh what would papa say--
Who cares? He ain't my real pa anyway.

--seed