This is why I'm here. Yesterday I processed this picture from a Clifton wander some time back, which is a plaque to Eliza Walker Dunbar, who founded the Read Dispensary. According to Weird Bristol it was founded in 1874 and moved to this St George’s Road location in 1907. (Wikipedia seems to think the Read Dispensary was founded in 1876, but her obit in the BMJ seems to confirm 1874.)
It was founded by Dunbar and a Miss Read, hence the name, along with "other supporters of the independence of women".