I believe this to be the Greyhound in 1881; it is named in the 1911 census
Leigh pub history index
Directory of Pubs in the UK, historical public houses, Taverns, Inns, Beer Houses and Hotels in Leigh, Tonbridge, Kent.
Residents at this address
1881/Avis Ingram/Beer Seller, Widow/66/Chiddingstone, Kent/Census
1881/William Martin/Domestic Servant/14/Leigh, Kent/Census
1911/Edwin Styles/Retailer of Beer/60/Brenchley, Kent/Census
1911/Sarah Styles/Wife/59/Lamberhurst, Sussex/Census
1911/Beatrice Styles/Daughter, Assistant/16/Brenchley, Kent/Census
1911/Lewis Styles/Son, Assistant/14/Brenchley, Kent/Census
1922/Edwin Styles/Beer Retailer/../../../Post Office Directory
1938/William Henry Walter Morgan/../../../Post Office Directory