The first such giveaway was the song "I'll Be On My Way", written by Paul (Sheff page 180) and recorded at EMI Studios by Billy J. Kramer and the Dakotas on 14 March 1963, and released the following April 26 (Lewisohn page 105).
Sheff, David, G. Barry Golson ed. The Playboy Interviews with John Lennon & Yoko Ono. The Final Testament. Berkley Books, New York, NY, 1981.
Lewisohn, Mark. The Complete Beatles Chronicle. Hamlyn, an imprint of Octopus Publishing Group Limited, London, UK, 2003.