2 cents worth from this side "the pond":
Ask kytrad about that title. May not be the same tune, but Jean Ritchie and the Ritchie Family of Kentucky have recorded a song and tune with that title.

Seems some of the mountain communities, settled by British Isles immigrants, had rules about DANCING. It seemed to encourage too much -- um, inappropriate(?) physical intimacy -- between boys and girls. These folks developed a practice of "play-party games" instead. The games were mixed gender and involved partners holding each other and making motions with their arms and moving around a room in circles, squares, and other figures. Big diff. Words to part of the chorus of the song I'm remembering under your title go something like:
    "Killiecrankie is my song;
    Sing and play it all day long."
And "From my elbow to my knee --
    Now we'll wind the grapevine tree."
Last line referring to arm motions aforementioned.   Tw