Here are some organisations that you may find useful for researching local history:

Lambeth Archives  https://www.lambeth.gov.uk/libraries-0/lambeth-archives

Lambeth Landmark picture site/Boroughphotographs https://boroughphotos.org/lambeth/

Wandsworth local history library https://www.wandsworth.gov.uk/leisure-and-culture/local-history-and-heritage/local-history-and-heritage-at-battersea-library/

The London Archives   https://www.thelondonarchives.org

National Archives  https://www.nationalarchives.gov.uk

The Genealogists    https://www.thegenealogist.co.uk

Lloyd George Domesday survey 1910    https://www.exploreyourgenealogy.co.uk/the-1910-valuation-survey-1143

Lambeth Local History Forum   https://www.lambethlocalhistoryforum.org.uk

Wandsworth Historical Society  https://www.wandsworthhistory.org.uk

The Brixton Society  https://www.brixtonsociety.org.uk

Battersea Society  https://www.batterseasociety.org.uk/

Streatham Society  https://www.streathamsociety.org.uk