The alternative title for the song is "The Atholl Gathering", not the "Atholl Highlanders".
It's certainly been recorded by the "Battlefield Band" and I think Davey Steele when he was a member of "Ceolbeg". I'll hunt down the recordings and have a listen.
According to "Battlefield Band" sleeve notes, the song comes from James Hogg's "Jacobite Relics", so that would be a more reliable source than anything on the internet. The notes also say that "Hogg suggests that it was taken from an anonymous Jacobite poem written in 1745".