I've duly received the A.L. Gillies CD.
She sings "The Banks of the Earn" to an arrangement by Gordon Cree of the tune contributed by Jack Campin, hugely slowed down and modified.
As to the second tune requested, she sings "The attainted Scottish nobles" to the tune of "Dainty Davie" as explained in the booklet attached to the CD.
Here is the result of my own exertions:
http://chrsouchon.free.fr/attaint.htm
and
http://chrsouchon.free.fr/earn.htm