This tune is one of those tunes i just want to play faster and faster. It’s the last tune on the last track, Flutopia, on the album Flatfish by Flook.
The composer’s family name is McElvogue, not McIlvogue. You can listen to him play the tune on his website: http://www.tommcelvogue.com/music/compositions.html
It seems Flook recorded it in Bm while it was originally written in Am.