It's not a traditional pipe tune, and there are so many wonderful, stirring authentic tunes.
The classic funeral pipe tune is "The Flowers o' the Forest" (commemorating the Scottish defeat at Flodden Field in 1513 - between 12,000 and 15,000 casualties, including King James IV).
There's a song that's connected with the tune - the refrain is "The flowers o' the forest/ are a' weid [withered] awa'."
That one is good. I also really like the Scottish Soldier (tune: Green hills of Tyrol) and My Home in the Hills. *sigh* Wish I could play the bagpipes.