For reasons unimportant here, I found our old friend in a Jimmy Shand medley
http://www.youtube.com/watch?v=BCptMS8IZvA
It appears to be called "I Wish I Were Married"
Whether it predates Iain Powrie's "Reel Of Tullochgorum" I don't know.
I note that Barry elsewhere is of the opinion that the tune is not great on NSP - I find this surprising considering how often it is played. Anyway, whatever its (now dubious) pedigree, it plays fine on the Border pipes and is good for practising the octave jump from B to b.