This was St David's Church; it was originally a mission church for St Paul's Southville, which is further east, just outside my mile radius. It was turned into a church hall for a while, but reverted to church status a couple of times, most notably while St Paul's was rebuilt after the Luftwaffe destroyed most of it in 1941.
It is, of course, flats now.
Know Your Place has a pic of it ca. 1910 from the Vaughan collection (BRO 43207/9/13/105).
GPS Coordinates:
51.44535, -2.60829
Location: Spike Island
