The album was "Songs, Ballads & Instrumental Tunes from Ulster". The song you are referring to is "Magherafelt Hiring Fair".

Other tracks on the album were: Reels: Roaring Mary/The Old Torn Petticoat; The Cotton-Mill Song; The Granemore Hare; The Boys of Mullaghbawn; Pulling the Lint; Air: The Melodious Little Fort of Bruff; General Munro; The Load of Kale Plants; O'Meally's Hornpipe; Jigs: Kitty's Bonnet/The Flax-Dresser; The Doffing Mistress; The Maid of Ballydoo; Air: Blind Mary; The Heights of Alma; P for Paddy; Reels: Martin Mulhaire's No 1/Kitty Goes a Milking/Pigeon on the Gate.