I don't have Cunningham's 'Songs of Scotland' so don't know how he might have revised the songs since their appearence in Cromeck's 'Remains', 1810 (my copy is a reprint of 1880, which includes the original title page) Two early tunes for "Hame, hame, hame" are both modifications of "Mary Scott" (which may be English, see the Scots tunes index on my website), and the one in Graham's/Wood's 'Songs of Scotland' (iii, 1853) is a version of "My Love in Germany" (Hector MacNeill's song, tune from the apparent original "Captain Kidd" tune.)