Great work, Carter, and thanks for the tip!

By chance, my library does have access, and here's the song. It was sung by Jerome Reiner for Herbert Halpert in New York City in 1938.
Reiner sounds relatively young.

"We were camping by wet a campfire one night, [and] one of the men decided to sing a few choice songs he’d brought back from Scotland. He’d studied medicine at Edinburgh.   

This is one of the songs.

I went on home like a good girl should;
He followed me like he said he would.
A gob is a slob, wherever he may be,
Listen to what the son of a bitch did to me.

"I went upstairs like a good girl should;
He followed me like he said he would.
A gob is a slob, wherever he may be,
Listen to what the son of a bitch did to me.

"Last verse,

"I got a kid like a good girl would; [sic]
He went away like he said he would.
A gob is a slob, wherever he may be,
And that’s what the son of a bitch did to me."

"The Knave" appears in Kinloch's Scottish "Ballad Book" (1827), but
"gob" and "slob" are a pretty good indication that those lines, at least, weren't made by a Scot!

"Gob" dates back to the turn of the century in the U.S. Navy. It was popularized in 1917-18.

Reiner's tune is not the same as Brand's. In fact, it's not very good at all.