A bit more info the following is from Alec Tweddle’s Town Trails No.2, for Newgate Street:
HORSE ENTRY.
This narrow passage is between Nos. 10 and 12. The name probably derives from the fact that to the south of it was "The King Crispin Inn". The stables of this hostelry were at the rear and this is the way through which the horses were led to them.
No. 10 NEWGATE STREET
Istanbul Turkish Restaurant.
Maylia Fish and Chips.
Though once listed as an 18th century building, the facade is modern, and in 1997 the fish and chip suffered a serious fire which resulted in a complete remodelling of the frontage of both this shop and the wet fish shop next door. Here stood "The King Crispin Inn" from at least 1798 to 1930. King Crispin was the patron saint of shoemakers. In 1798 the licensee was George Beaumont.
In 1889, James Sproat, landlord of the Inn, died. He had travelled with a grinding wheel all over the British Isles, France, Spain and Switzerland. He tried life in Brazil and roughed it in the early days of Australian colonists at Brisbane. On settling down in Morpeth, he became a noted bell-ringer.
The Inn was advertised in 1892 as having a bar, bar parlour, kitchen, back kitchen, front room, two bedrooms, light closet, cellar, two w.c.s, and yard. A three-roomed house adjoined the Inn at the rear. The whole property sold for £1,500. The Inn was rebuilt in 1903.
In 1930 the Police objected that it was in very bad repair, ill-planned and inconvenient. There were two entrances, one by a narrow lane, which made supervision of the house difficult, and the sanitary arrangements were bad. Moreover, within sixty yards were five other licensed premises and the gross takings per week were only £48. Magistrates granted a provisional licence and recommended the owner for compensation; £2,850 was offered.