The Tam Lin Reel is also known as Tamlyn, and, as Mikey Joe pointed out, The Glasgow Reel and The Howling Wind. It's generally ascribed to Davey Arthur of Dublin; the Howling Wind name seems to have been invented by Paddy O'Brien, who didn't like the name the tune's composer had given it. More information and notation in abc format of three performances of the tune (all in different keys) can be seen at Andrew Kuntz's invaluable site The Fiddler's Companion:A search at J C's Tunefinder for Tam Lin will return examples in several keys; Am, Bm, Dm, Em, and Gm. Most of the hits will be the reel, though a few will be tunes for the ballad.
Hand Me Down the Tackle, incidentally, is not an alternative title for this tune; it's just the piece that follows it in the pdf collection.