However, to add to that, the 1868 Kellys does list the Birm & Midland Eye Hospital as being at 26 Temple Row. The street was renumbered after, but it is the same number as the Royal hotel, which must be your pub. By the 1884 directory it is still there with the Royal, and its position can then be identified as being next to and to the west of The Northwestern Arcade. but by the 1888 edition it has disappeared, and number 26 is not listed. So it moved to Church St the late 1880s. the c1889 map below shows what I think was its approximate position.