The lyrics are given in the album's liner notes, which you can see here:
http://folklife-media01.si.edu/liner_notes/folkways/FW02368.pdf. I listened on Spotify, and made some very small corrections:


WILLOW TREE
As sung by Roscoe Holcomb on "The High Lonesome Sound" (Folkways Records, FA2368, 1965)

If I was some little swallow,
Had little wings and I could fly,
It's I'd light in the arms of my own true lover,
And if any courting there, I'd be by.

If I were some little sparrow,
Had little wings and I could fly,
It's I would light by the side of my own true lover,
And there I'd sit until the day I die.

I'd light up in some weeping willow,
Weep for weeks, for months and years.
It's I wouldn't eat nothin' but weeping willow,
And what I'd drink would be my tears.