John Sharp tune query

Among the recordings of John Sharp made by Sgt. Alvin York, there is
one entitled "Molly Put the Kettle On Medley." The first tune is of
course Molly Put the Kettle On, the third and final tune appears to be
the same Fire on the Mountain that Bob Townsend plays (though it gets
cut off before the first time through). The second tune is really
beautiful and apparently James Bryan plays it but I don't know what it
is called.

It's in A, probably cross-tuned.

Anyone know the name of this tune?