Oops--not in the first ed. of Herd, but in 1776, vol. 2. I may as well paste in the entry from my Census of Scottish Songs [he said proudly], to wit:
Bide Ye Yet Jig [the tune, that is, used for dancing] Royal Sc Country Dance Soc book V, 8 (F/Dm), for dance "Fly Not Yet"; from Surenne. As for the song:
BIDE YE YET (Gin I had a wee house and a cantie wee fire) Herd (1776), II.179. 3x4 lines + cho. (begins "And byde ye yet") [first appearance of words]. Hecht Herd MSS. 212 (no. XCV). Words and m. in The Musical Miscellany (Perth, 1786); next in Scots Musical Museum I (1787), 98 (#97). [Key F, 6/8]; Brown & Pittman Songs of Scotland (1877), I.102 (+ m.); Chambers Scottish Song Prior to Burns 418 (+ m.); G.F.Graham Sc. Songs I.14 (+ m.). 3x4 lines + cho. (begins "Sae bide ye yet, an' bide ye yet"). Diack New Scottish Orpheus II.20 (+ m.).

That might be enough for you to look about for. Cheers Murray