"Hold Me Tight" is a rock and roll song by English rock group the Beatles from their 1963 album "With the Beatles". It was first recorded during the "Please Please Me" album session, but not selected for inclusion and re-recorded for their second album.
The Beatles released an album in 1961
The context says that the Beatles had an album come out in 1963, but does not say anything about any other year for any other of their album. We cannot know if this is true based on the context alone. The computer might have assumed that since the 1963 album was their second, that they recorded the 1st in 1961. 