So happy to have found this thread! (I tried Googling these lyrics about 10 years ago, but no joy.)

My late papa used to sing me a song enjoyed by his father, a Swede who emigrated to Utah in 1884 and became a union activist in the coal mines:

[Memory fails me], he had two sons,
And both those boys were brothers.
Josephus was the name of one,
Josephus was the name of one.
Bohunkus was the other,
Bohunkus was the other.
Bo-hun-kus wa-a-a-s the other name.

This was sung, with great vigor and emphasis, to the tune of "Joy to the World." Further verses, which I've forgotten, continue with tall-taleish descriptions of the two brothers' qualities and exploits.