As the school expanded, larger premises were required, with a house named "Barton Peveril" purchased by 1918, which later gave its name to the institution officially recognised as Eastleigh County Secondary School, Barton Peveril. In 1932 there was another move, this time to a building in Desborough Road that had previously been used for a school, with the move marked by the name Eastleigh County High School. In 1957, the school moved to its current site and returned its original name of Barton Peveril School.