The only reference we could find to this society was on the website of the  which has some documents in its 'Environics Collection' which is about how St Mary the Virgin Aldermanbury was moved to Fulton, Missouri.  So we guess the society is (was, probably) an American-British Friendship group set up after WW2 and that the Charing Cross plaque was erected then.
This section lists the memorials created by the subject on this page:
Angle-kin Society
Creations i
Charing Cross Station - US President
The Guardian has a detailed description of the procession from Charing Cross ...
Other Subjects
Haringey First World War Peace Forum
From HFWWPF: The Haringey First World War Peace Forum was a small working group in north London, researching the conscientious objectors who were associated with the districts of Hornsey, Tottenham...
1 memorial
Ada Salter
Socialist and pacifist. Born Ada Brown at Raunds, Northamptonshire. She joined the West London Mission to work among the London poor, and in 1897 transferred to the Bermondsey Settlement, where she...
6 memorials
Brentford & Chiswick Local History Society
The society's website doesn't specify when it came into existence. It contains a number of 'journals', the oldest of which is dated 1980, so maybe it dates from then.
1 memorial
Streatham Society
A society which aims to raise the awareness and appreciation of its local area, and to maintain and improve the quality of life for all who live and work in Streatham.
3 memorials
Wandsworth Society
A community group with the aim of safeguarding the character, quality and integrity of the environment around Wandsworth.
1 memorial
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