Search the historical London street directory, and London pub history site including early street addresses in London through the Victorian pub history of London. This search engine is not brilliant, try address searches in the main google search to get better results. Searches on people names do appear to work, I think. Let me know!
Directory of Pubs in the UK, historical public houses, Taverns, Inns, Beer Houses and Hotels in Hampshire . The Hampshire listing uses information from census, Trade Directories and History to add licensees, bar staff, Lodgers and Visitors.
Also see Hythe, which is listed as part of Fawley in census
|Falcon Hotel, Fawley, Hampshire||No||Yes|
|Forest Home, Long Lane, Hardley, Fawley, Hampshire||Yes||Yes|
|Jolly Sailor, Ashlett, Fawley, Hampshire||Yes||Yes|
|Langley Inn, Langley, Fawley, Hampshire||No||Yes|
|Thistle Cottage, Hill Head, Fawley, Hampshire||No||Yes|