Perhaps read the thread rather than respond to dingle posts, dick.

There was no mystery reel (and the tune Frankie Gavin recorded as the'Mystery reel' wasn't involved in any of this, just in case uou mistakely thought it was) but the OP did ask for identification two tunes, a hornpipe, which I duly identified, and a jig, named by the players as The Rakes of Kildare. Helen posted a link to a version of the latter, to which I responded (and pointed towards a notation of the tune in question)
It's not all that hard to grasp, really.