Banbury Street in Burnside- nothing on library website which surprised me as most houses were built in 1960s. It was probably named after Banbury in the UK. Papers Past had an ad in 1961 about Crown Land for sale which included this street and the surrounding streets. In 1968 there was an article about a Mr Berry setting up a studio called Banbury Recording behind his house on this street. It was for a Christian Radio Station.
It seemed like a pleasant tree lined street and there were some nice gardens. There was one more modern house built in 1990.
Lytteltonwitch's Walking the streets of Christchurch Project 