The 1861 census lists the establishment as the Bridge House - "Crown & Anchor" which suggests that Bridge House is the new name.
Windsor pubs history index
Directory of Pubs in the UK, historical public houses, Taverns, Inns, Beer Houses and Hotels in Berkshire. The Berkshire listing uses information from census, Trade Directories and History to add licensees, bar staff, Lodgers and Visitors.
Residents at this address
1861/William Davison/Inn Keeper/43/Windsor, Berks/Census
1861/Sarah Davison/Wife/44/Marlow, Bucks/Census
1861/Matilda P Davison/Daughter/21/Marlow, Bucks/Census
1861/William J Craven/Guest, Fundholder/27/Thirsk, Yorks/Census
1861/Isabella Craven/Guest/24/York, Yorks/Census
1861/William Lloyd/Guest, Retired from Army/40/Anglesey/Census
1861/George Fraser/Guest, Gamekeeper/25/Scotland/Census
1861/Sarah Ward/House Servant/36/Hambledon, Oxon/Census
1861/Henry Maresham/House Servant/20/Eton, Bucks/Census
1863/William Alston/and wine and spirit merchant/../../Duttons Directory ***
1864/J Alston/../../../Kellys Directory ***
*** Provided By Colin Ager