Well, after all, the bagpipes ARE a double reed instrument, like the bassoon, which I play.
The first bagpipes I heard in person wafted over the small campus of Guilford College, in Greensboro, North Carolina, where I spent my summers from 1968-70 when I was in high school, attending the Eastern Music Festival, which is a music camp for teen-aged orchestral musicians. It is where I learned to love classical music. I never learned to play the bagpipes, but I still have my practice chanter.
Why did this come up? Ask Moe Lane.
Update, 5/20/2010, Thurs.: Regular dear gentle reader Graumagus suggests the following videos of his friend, bagpiper Jeremy Kingsbury, and I am promoting them from the comments:
Jeremy Kingsbury on bagpipes and other American Revolutionary War re-enactors at Bloody Lake: