Two tune that I would play at occasions like that are, "The March of the
Kings of Laois", I think this is on one on the early Chieftains records, 5 or 6.
On the Seamus Ennis record "The Bonny Bunch of Roses" theres a tune titled
"Gol na mBan San Ar". Its also called "the Eagles Whistle". I like those two
because although they're slower marches what they have in common is that in both
cases the second parts of each tune change to a different key which gives the
tune a really nice lift.
Sometimes I'll play a William Byrd tune, "The Irish March". Its on the last
Planxty album, "Words and Music". Its a very stately tune but for a funeral I
personaly would play it a tiny bit slower that the tempo thats on the Planxty
CD. But thats up to yourself of course.