Obviously not complete and possibly expurgated, but at least it establishes a date and possible origin:

From More Tommy's Tunes: An Additional Collection of Soldiers' Songs, Marching Melodies, Rude Rhymes and Popular Parodies... by Frederick Thomas Nettleingham (London: Erskine Macdonald, Ltd., 1918), page 23:


THREE JOLLY BOYS

Now you'll pay the rent, sir.
—Aye, sir, aye.
And you'll do the same, sir.
—No, sir, no.
Now will he, or will he not?
—Aye, sir, aye.
You cannot deny it, sir.
—No, sir, no.

CHORUS: Now one says "aye" and the other says "no."
We are three jolly boys all in a row,
In a row, in a row, in a row, in a row.
We are three jolly boys in a row.