In the liner notes of my CD, "Anchored In Love", the first of the rounder series "The Carter Family, Their Complete Victor Recordings" (Rounder CD1046)it says....

That night they assembled on the platform. Since Sara had to paly her autoharp flat, they all sat around the microphone, and launched into "Bury Me Under The Weeping Willow", a song which both Sara and Maybelle had known since childhood; like many mountain songs, it was actually an old nineteenth century parlor song that had gone into folk tradition.

It goes on to say that they recorded six sides, and the titles named are as follows:
Bury Me Under The Weeping Willow
Little Old Log Cabin By The Sea
Poor Orphan Child
The Storms Are On The Ocean
Wandering Boy
Single Girl

Hope this helps some!!