Yes Jim, when I checked, all the ones in the Roud index that had music listed used the SMM tune.

I also found a copy of Kyle's Gems on Google books that had no date in the introduction, but which Google dated as 1876, so a bit earlier than my own and your copies. On the title page this copy says "Glasgow: Morison Kyle 108 Queen Street (OppositeRoyal Exchange)" and the Introduction is signed only "Morison Kyle, 108 Queen Street, Glasgow", rather than "The Publisher, Glasgow 1880"