The hall of the Worshipful Company of Loriners, originally a trade association for makers of metal parts for harnesses, bridles, spurs, and other horse apparel. More on the Loriners at Wikipedia. The location is shown on this 18th century map.
The overlays that highlight 17th century London features are approximate and derived from Wenceslaus Hollar’s maps:
Open location in Google Maps: 51.517783, -0.091099
The Loriners, or Lorimers (bit-makers), of London are by reputation an ancient mistery, but they were first incorporated by letters patent of 10 Queen Anne (December 3rd, 1711). Their small hall was at the corner of Basinghall Street in London Wall. The company has no hall now.
This text comes from a footnote on a diary entry in the 1893 edition edited by Henry B. Wheatley.
A Blue Plaque at 1 Poultry marks the site of the Loriner's trade
1 Poultry and the neighborhood
Lorimer Hall from at least 1668-1647 (map date) is N of where Basinghall Street ends at the London Wall - left of the dark square left of the Second Postern
Chart showing the number of references in each month of the diary’s entries.