In 1980 Murray worked on her first solo album with record producer Martin Hannett's band The Invisible Girls, which also included ex-Penetration member and co-writer Robert Blamire, as well as guesting Manchester musicians such as Vini Reilly, guitarist in The Durutti Column, and Steve Hopkins. John Maher from Buzzcocks also drummed for the band. The resulting album, "Pauline Murray and The Invisible Girls", reached Number 25 on the UK Albums Chart in October 1980 and spawned the singles "Dream Sequence" and "Mr. X". The album was well received by critics. A reviewer for "Melody Maker" called it, "Unquestionably a musical highpoint of this year or any other. An exciting new area of electronic pop where Motown meets the modern world."