Complex sentence: The original Playhouse had opened as the Little Theatre in Becket Street, back in 1948, in a converted Church Hall; in 1952, the company moved to further converted premises in Sacheveral Street, surviving a major fire in 1956.
Split into simpler sentences: The original Playhouse had opened as the Little Theatre in a converted church hall on Becket Street in 1948. In 1952, the company moved to further converted premises in Sacheveral Street, surviving a major fire in 1956.