I learnt this tune today at the Hibernia Centre in Bristol, and transcribed from my tape of Jill Elliott’s teaching performance.
It goes well with The Laird of Drumblair strathspey (on this site) which I also learnt recently.
The tune seems to have come from Scotland to Donegal, as many strathspeys have done. "Hame", I believe, is Scottish for "home".
There is an error in second repeat bar of the first part; it should read (3Adf a>A d3g.
This one has been recorded by Tommy Peoples and Daithi Sproule on the record The Iron Man; The tune is played together with The Iron Man.
Dermot Byrne and Tommy Peoples on youtube
In the video at http://www.youtube.com/watch?v=wJxiBQaoo_Q they seem to be putting the scottish snaps in the first of each dotted crotchet/semiquaver pair (eg "F<DA>D" instead of "F>DA<D").
Which is the more usual session version?
Great video of Tommy Peoples playing it here: http://www.youtube.com/watch?v=Ls_UI9Z0Yz0
This is a Strathspey by fiddler James Scott Skinner called "Littlejohn’s Hame" and can be found in a collection called "The Scottish Music Maker" (published 1957).