A version of the first section that my father sang to us as a lullaby (!). It was a standalone song, with none of the "mule" part. He probably learned it in a hobo jungle in south Alabama in the late 1930's:

Oh, she promised to meet me when the clock struck seventeen
At the stockyards three miles outside of town
Where those pig's feet, and pig ears, and tough old Texas steers
Sell for sirloin steak at sixteen cents a pound (fourteen ounces)

She's my darlin', my daisy, she's cock-eyed, plumb crazy,
She's knock-kneed, bow-legged and she's blind
Got the rheumatism in her teeth (they are false) from the use of Epsom Salts
She's my freckle-faced, consumptive Sara Jane
Hallelujah Sara Jane
Halle -- Sara -- lujah -- Jane