There are numerous minor textual differences in Blind Alfred Reed's original recording and the version George posted above. It will be easier to post Reed's text rather than point to the differences line by line:

WOMAN'S BEEN AFTER MAN EVER SINCE
(Blind Alfred Reed)

God made man in his own image
And all things were going right
But it seems that man was doomed to sin and fall
Eve she tasted of the apple,
Begged till Adam took a bite
And that put the human family to the wall
After Adam was beguiled,
Woman kept on going wild
Causing man to have all kinds of punishments
We can plainly understand
Woman was made after man
And she's been after man ever since

What a shame it is that women
Try to be so much like men
They will run for office if they get a chance
Men had just as well stop calling
His dear, precious wife 'old hen'
For the time has come when she should wear the pants
How they dress it is a sight,
Wear their skirts so short and tight
They can hardly make it when they cross a fence
But they do the best they can
Woman was made after man
And she's been after man ever since

Yes indeed today a woman
Tries to be so much like man
She will even have her hair cut short like his
Some will gamble and sell liquor,
They will bootleg all they can
Oh, it's dreadful how deceitful woman is
They get lipstick in a box,
Paint their lips and roll their socks
They think they know more than all the presidents
Woman thinks she's mighty grand
But she was made after man
And she's been after man ever since

So young man if you are courting
One who says she loves you well
Do not think it's true because she hugs your neck
For she surely will deceive you
And she'll slip around and tell
That she'd marry you to get your little cheque
Boy, you'd better take it slow
All she's after is your dough
Just watch out and very soon you'll be convinced
She'll make love to beat the band
But she was made after man
And she's been after man ever since

Source: transcription of Blind Alfred Reed 'Woman's Been After Man Ever Since' recorded in NYC on 3 December 1929 and issued as Victor 40196. Reissued on Blind Alfred Reed 'Complete Recorded Works' Document DOCD-8022.

The Red Clay Ramblers' recording sticks pretty faithfully to the Reed original. The only difference is that they transpose the first lines of stanzas 2 and 3: 'Yes indeed today the women' for stanza 2 and 'What a shame it is that women' for stanza 3. The only other difference is that they have 'so' instead of 'true' in stanza 4, line 3. The Red Clay Ramblers 'Stolen Love' Flying Fish LP FF-009 [1975].

--Stewie.