The pub that you have coloured blue is the one that appears in the period between the two maps that I linked to earlier. The timing of its appearance (between 1896 and 1913) is consistent with it being John Wilson’s establishment and the pub that’s still there.
If you compare that map to those that I linked to earlier you will see that the northerly ‘Inn’ is the Bridgehill Inn. Everything that I have seen in newspaper articles is consistent with it being simply a public house, but it may have had a couple of rooms I suppose. The site also had two houses, mentioned in the 1905 Valuation, but unoccupied. They are also mentioned when the Inn went up for sale at some point (don’t recall). The last newspaper mention of the Bridgehill was in 1957. I suspect that the site was redeveloped at that time.
Added: I think you have coloured the wrong building, I think the pub is immediately north of that by the main street.