"Rosin the Beau" and "Old Moll Roe," or "Molly Monroe," all use the same tune.
Lyr. Add: OLD MOLL ROE

I met old Moll Roe in the mornin',
Her tail was all drabbled in blood.
I ask' her what was the matter,
She says she's been fucked by a stud.

I met old Moll Roe in the mornin',
Her tail was all drabled in dew,
I throwed my prick over my shoulder
An' my ballyx says how-do-ye-do?

If I had a prick like a stud horse,
And ballyx like mountains of snow,
I'd fuck all to hell an' damnation
To git to the cunt of Moll Roe.

Mr. L. K., Cyclone, MO, 1931. He heard his Irish father sing it in 1885. Known as "Lady Monroe" in Australia.
Vance Randolph, ed. G. Legman, "Roll Me in Your Arms," pp. 119-120, with music. He says the tune "Rosin the Bow" is also known as "Tarpaulin Jacket."