Kathleen - got your e-mail and thought I'd respond here to kill two birds with one stone - give both you and DT the lyrics! You said the the e-mail that the songs was also known as "Babes in the Woods" - that's in Sharp's English Folk Songs from the Southern Appalachians.

And then those pretty little babes
Did wander up and down,
And never more did see that man
Approaching from the town.

Their little lips with blackberries
Were all besmeared and dyed
And when the darksome night came on
They set them down and cried.

In each other's arms they died,
Grim death did end their grief.
Little Robin Redbreast pitiful-lie
Covered them up with leaves.

^^

Unlike many of the tunes in the book there are no other variants. Sharp says the tune is in Chrisite's Traditional Ballad Airs and Chappell's Music of the Olden Times - a later source would be McGills Folk Songs of the Kentucky Mountains.

There's nothing in Child noting either tune as a variant of any of his ballads.