The 1911 census enumerator's list for the area runs from Little Ann Street into Barn St, the first property being the Royal Oak public house, next is house No3, then 12 houses in no1 court (back of 3), then No4, etc.
Here's a view looking the other way, Morton, Fellows & Clayton's canalside warehouse in Fazeley St is in the distance.
A present day business listing has "Offering snacks and drinks Barn Street Diner is located at 1-2 Barn Street in Birmingham. Visit them or call on 0121 687 8730."
So in 1911 at least, this property was 1-2 Barn St, and a pub called the 'Royal Oak'.
I must also say that when I went in there about 3 years ago, they did a magnificent full English breakfast! You can still see that it used to be a pub inside, as well, despite a few alterations.
Quite often pubs and shops were left when an area was cleared of the 'slum' houses, left to flounder without customers - then the council wouldn't have to cover the costs of rehousing the businesses. It happened to a relative of mine who had a butcher's shop in Muntz St, the people were moved away and the houses demolished, his and nearby businesses had to close for lack of trade and the only value was the land the shop had stood on - so the compensation was mighty small.