I have listened to another recording of FURNITURE MAN by The Sugar Kings, on their album "Take Your Time, Mr. Brown" and I believe I can shed some light on some wrong or uncertain lyrics in the above transcription.

Verse 2, line 1: "Sadie Jones" is the name sung by The Sugar Kings. It isn't what Lil McClintock sang, but it works.
Verse 2, line 3: "She give a ball" not "she give up all" (a classic mondegreen)
Verse 2, line 6: "raise the dead" not "race around" (it rhymes better)
Verse 3, line 4: "He gets down to the bedtick" makes more sense grammatically.

By the way, I'm surprised no one questioned the word "bedtick." It's an obscure word nowadays, not recognized by my spell-checker, but was probably better known when mattresses and pillows were sometimes homemade. The "ticking" was the special canvas that was used to enclose the feathers or cotton "batting"—another obscure word that means "stuffing". It had to be strong and durable, and tightly woven so that the pointy ends of the feathers wouldn't work their way out through the weave. Nevertheless, some of them did, so a feather bed wasn't as comfortable as you might imagine.

I learned this from my mother, who probably never made a mattress or pillow from scratch herself, but probably was familiar with homemade ones when she was young.