This reel is from Kerr’s First Collection of Merry Melodies, c1875. It is in the Aeolian (or natural minor) mode.
Glenlivet (Gleann Lìobhait in Gaelic) is in the Scottish Highlands, about twenty miles south of Elgin. I suspect the tune is named in commemoration of the Battle of Glenlivet, in 1594, in which the 2000-strong Catholic forces of the Marquess of Huntly and the Earl of Erroll defeated the Protestant Earl of Argyll’s army of 10,000. Alternatively, it could refer to the rather large whisky distillery – a great icon of Scottishness, notwithstanding the fact that it’s now owned by a French company!