The song is indeed "Barbecue in Heaven" and was done by Jim Schoenfeld on his "Schony" album. It was a modest regional hit back in the 70s when he was with the Sabres. The song got a bit of airplay on then-WKBW, now WWKB, 1520 AM.

The rest of the album is a bunch of rather awful covers. Your average garage band would be embarrassed. ;-)