From the Post Office London Directory 1899 i checked these pubs i found in Blackfriars (googling Blackfriars pubs):~
174 Queen Victoria Street Blackfriars, Black Friar - landlord 'Cox'
Cockpit, Blackfriars - could not find
Crown & Sugar Loaf 26 Bride Lane - i could not find 26 but 14 was near new bridge street and 24 near fleet street
Old Bell, city of london - Carr Eliza (Mrs) Ye Olde Bell Hotel
Olde Cheshire Cheese, city of london - could not find i suspect this is a relatively new name!
olde cock tavern, 22 fleet street - not sure this is the same one, Dickinson Wm Geroge Cock Tavern P.H (public House) 125 High Street Knights(bridge?) NW (Blackfriars is EC)
punch tavern, 99 fleet street - Baker & Co? it is amongst a list of pubs / hotels 7 restuarants under Baker & Co.