Slater's Directory of N&S Wales etc. 1880 does not record a Horse and Jockey under "Taverns and Public Houses". However, under "Retailers of Beer" it lists -
Humphreys Edward, 32 Hope Street
The 1891 Census shows Harriet Edwards, widow, publican, at the Horse and Jockey, 32 Hope St.
Beerhouses could carry a name but this was often ignored when reporting or mapping.
Thanks for the post.