Accurate transcriptions of the 1921 census are being added to the pub history site, starting with London.
The Royal Exchange was destroyed by fire in 1838. Lloyd's is, perhaps, the oldest collective establishment in the City. It was first under the management of a single individual, who started it as a room where the underwriters and insurers of ships' cargoes could meet for refreshment and conversation. The Coffee-house was originally in Lombard-street, at the corner of Abchurch lane; subsequently in Pope's head alley, where it was called "New Lloyd's Coffee-house;" but on February 14th, 1774, it was removed to the north-west corner of the Royal Exchange, where it remained until the destruction of that building by fire.
A lot more early detail is at the London Taverns site.
A listing of historical London public houses, Taverns, Inns, Beer Houses and Hotels in St Bartholomew at Exchange parish, City of London.
Residents at this address.
1822/Bennet, White and Bennet, Lloyds Coffee House, Royal Exchange/../../Pigots Directory
1833-34/John Bolton, Lloyds Coffee House, Royal Exchange/../../Pigots Directory
1836/John Bolton, Lloyds Coffee House, Royal Exchange/../../Pigots Directory