Hmm, fascinating discussion. My original thoughts (due to the line about Mama driving Papa Mctell from her door) were that mama was annoying papa and he was telling her to be aware that she needed to calm down (or he was gone.)
Not so sure now!
Anyway, I don't hear the lyrics as other people tell them. I have only ever heard BW's version and major differences "I" hear are:

My other daddy left me restless,
My Daddy died and left me wild, wild, wild.

and (perhaps more meaningful for this discussion):

You're mighty mean woman, leave me in disarray
You're mighty mean woman, leave me in disarray
Gonna leave 'this time' etc.

Of course, I could be just deaf an' dumb :)