Better known as "The Constant Lovers," copies in Bodleian do not cite a tune. More than one song with that name.
There is a very long version in the Bodleian, ca. 1800- Harding B11 (2670), titled "A new Song." Also "The Hard-Hearted Mother."

There might be some ideas in the thread "music to song, Constant Lovers, 42808: Constant Lovers