It was a pub in the 1911 census, not named but George Phillips was the manager, and he and his wife and 8 of their 9 surviving children lived there as well. You think it's cramped now?
It looks as though it was converted at some stage from one of the terraced houses that filled this area, almost all now gone and the area is light commercial.
I used top work in Barford St in the early 70s, and used the Lamp a few times. It was owned by an Irishman who ran a scrapyard further down Barford St (towards Moseley St) called Kieron or something similar. It seemed to be open 24/7 from when he took it over till when the licence was taken from him, if he wasn't there you helped yourself and left the money on a shelf behind the bar!