Hi, Zorro - I think the song is on Anam, by Clannad. I think Maire Brennan was the vocalist for Clannad on that album. If I'm correct, Maire is Enya's sister, and Enya used to be vocalist for Clannad. Let's see if this link will take you to a sound sample. It's a little confusing, because the All Music Guide lists both "Harry's Game" (from the movie "Patriot Games"), and also "Theme from Harry's Game." I think it's one and the same song.
-Joe Offer-