Many accurate 1921 census transcriptions have already been added to the pub history site, including London, and parts of Middlesex.
Lambeth pub history index
The address alters from 35 Hurley road by 1921, and I am not aware why this happens.
A listing of historical London public houses, Taverns, Inns, Beer Houses and Hotels in the Lambeth parish, Surrey, London. This includes Kennington, Brixton, Lambeth, Norwood, Peckham & Waterloo Road.
Residents at this address.
1869/William Catt, East Arms, 35 Hurley Road, Lower Kennington lane,
Walworth SE/../../Post Office Directory
1874/W H Sedgeley/../../../Licensed Victualler & Hoteliers Directory
1881/William H Sedgley/Licensed Victualler/38/Brinkley, Worcester/Census
1881/Ellen Sedgley/Wife/34/Sussex/Census
1881/Ada Sedgley/Daughter/7/Kennington, Surrey/Census
1881/William H Sedgley/Son/5/Kennington, Surrey/Census
1881/Florence Sedgley/Daughter/4/Kennington, Surrey/Census
1881/John W Sedgley/Son/3 months/Kennington, Surrey/Census
1881/Elizabeth A Catt/Niece/20/Kent/Census
1881/Ellen L Catt/Niece/17/Kent/Census
1882/William Hy Sedgley/../../../Post Office Directory
1884/William H Castle/../../../Post Office Directory
1891/Arthur Blomfield Potts, East Arms, 35 Hurley Road SE/../../Post Office Directory
1895/John Bishop/../../../Post Office Directory
1899/John Lipman, East Arms, 35 Hurley Road SE/../../Post Office Directory
1906/Frederick Eade, East Arms, 35 Hurley Road SE/../../Post Office Directory
1911/Robert Palmer/Licensed Victualler/30/Walworth, London/Census
1911/Rose Palmer/Wife, Assistant/21/London/Census
1911/Violet Leppard/Barmaid/18/London/Census
1911/Lydia Thompson/Servant/26/Portsmouth, Hampshire/Census
1921/Arthur & Mrs Elizabeth Jane Burgess, East Arms, 44 Hurley Road SE11../../Post Office Directory
1934/Charles L Davies, East Arms, 44 Hurley Road SE11../../Post Office Directory
1938/Charles Davies, East Arms, 44 Hurley Road SE11../../Post Office Directory
1940/James Burt Medlock, East Arms, 44 Hurley Road SE11../../Post Office Directory
1942/James Burt Medlock, East Arms, 44 Hurley Road SE11../../Post Office Directory
1944/Mrs Ada Biddy Medlock, East Arms, 44 Hurley Road SE11../../Post Office Directory