Should have mentioned that the one in the DT is a good example of a play party version.
Here is a bawdy version:

Lyr. Add: Buffalo Gals (bawdy)

We'll fuck all night till broad daylight,
Broad daylight, broad daylight,
We'll fuch all night till broad daylight,
And go home with the gals in the mornin'.

Country boys all pecker and feet,
Pecker and feet, pecker and feet,
Country boys all pecker and feet,
Go home with the gals in the mornin'.

Swing right and left and stick it in the middle,
Stick it in the middle, stick it in the middle,
Swing right and left and stick it in the middle,
And go home with the gals in the mornin'.

From J. D., Little Rock, Arkansas, in Randolph and Legman, "Roll Me In Your Arms," #134, Buffalo Gals (with music) B, p. 424ff.