The Babys can refer to either the popular British rock group of the 1970s or the Japanese rock band. 1. The Babys (British) The pop rock band's name was chosen to give them a greater chance of a recording contract as they felt companies were leaning towards the teen market. They released their eponymous first album in 1976 and quickly followed it up with 'Broken Heart' the following year. The cover of 'Broken Heart'- with the group members in glossy make-up- may have been part of the aforementioned marketing ploy.