This song was written by Eddy Grant. It was recorded by The Equals in 1966. It was first released as the B-side to Hold Me Closer in 1966. In the UK the single was released in 1967. Baby, Come Back was released as a single in 1968 with Hold Me Closer on the B-side. The 1968 issue of the single reached number one on the UK Singles chart. The Beatles played the song during the Let It Be sessions in 1969.