According to the Grateful Dead Lyric and Song Finder, Son House recorded 2 versions of this song. The first one, in 1930, he called MY BLACK MAMA, PART 2.

MY BLACK MAMA, PART 2
(Son House)

Hey, I solemnly swear, Lord, I raise my right hand,
That I'm goin' get me a woman. You get you another man.
I solemnly swear, Lord, I raise my right hand
That I'm goin' get me a woman. You get you another man.

I got a letter this morning, how do you reckon it read?
"Oh, hurry, hurry. Gal you love is dead."
I got a letter this morning, how do you reckon it read?
"Oh, hurry, hurry. Gal you love is dead."

I grabbed my suitcase. I took off up the road.
I got there, she was laying on the cooling board.
I grabbed my suitcase. I took on up the road.
I got there, she was laying on the cooling board.

Well, I walked up close. I looked down in her face.
Good old gal, you got to lay here till Judgment Day.
I walked up close, and I looked down in her face.
Yes, been a good old gal, got to lay here till Judgment Day.

Oh, my woman so black, she stays apart of this town.
Can't nothin' go when the poor girl is around.
My black mama stays apart of this town.
Oh, can't nothing go when the poor girl is around.

Oh, some people tell me the worried blues ain't bad.
It's the worst old feelin' that I ever had.
Some people tell me the worried blues ain't bad.
Buddy, the worst old feelin', Lord, I ever had.

Hmmm, I fold my arms and I walked away.
"That's all right, mama. Your trouble will come someday."
I fold my arms, Lord. I walked away.
Say, "That's all right, mama. Your trouble will come someday."