Never did find the REX ALLEN album, but found this:

THE TRAIL OF THE LONESOME PINE - Hal "Lone" Pine and his Mountaineers with Betty Cody - Writers: MacDonald and Carroll

Refrain:
In the Blue Ridge Mountains of Virginia
On the trail of the lonesome Pine
In the pale moonshine our hearts entwine
Where you carved your name and I carved mine

Oh, you - like the mountains are blue
Like the pine - I am lonesome for you
In the Blue Ridge Mountains of Virginia
On the trail of the lonesome Pine.

On a mountain in Virginia stands a lonesome Pine
Just below is the little cabin home of a little girl of mine
Her name is June and very, very soon she'll belong to me
For I know she's waiting there for me 'neath that lone Pine tree;
Refrain: