This is a bit complicated. In the 1871 census John Smith, brewer is listed at the Bull's Head, 1 Water Street, but the 1872 and 1873 directories lists Sarah Dingley as the owner of 1-4 Water Street, a beerhouse. However in the 1876 directory, the Bull's Head is listed as George Carter and baker, at no 1 Water St, with sarah Dingley as a beer retailer at no 4
In 1878 only no 1 Water Street is listed, under Thomas Baker , licensee, who is also a baker (listed as such in trades section , also as licensee in pubs section) The Bulls Head is at that time listed as a full pub, not a beerhouse
In 1879 Charles Combes is listed as the licensee at no 1 water St, with a baker at no 4 .
Later directories continue to refer to a beer retailer at either rno 1 or no 2 Water street, with the businesses at 3 or 4 until 1900. But in the 1903 and 1904 directories no 2 Water Street is listed as a full pub called The Challenge. with landlord. Harry Mitchell., while in 1904 no 1 Water street is listed as a newsagent, the challenge is still there at no 2 water Street till at least 1924, but has gone by 1932.
At present the newspaper arhicves appear to be down, so cannot search to find any further information at present, But the conclusion is that there was a pub of some sort on part of the site till at least 1924, but that the sit ewas split, and probab ly rebuiltzt some time, an that what seems to have been a full pub in the 1870s as the Bulls Head, became a beehouse of unknown name, and later the pub on the site was named The Challenge