I wonder if F May of Reading is Fred May ? He is mentioned in the history of Reading RA that I referenced some time ago :-
"1947 saw the largest ever meeting of (or rather organised by) the Reading RA. Stanley Rous (later Sir), then Secretary of the FA, came to talk to the society. The meeting was attended by some 200 people, though the membership at the time was only 52. Also in that year, Fred May, a former committee member and a Berks & Bucks FA Council member, was appointed Secretary of Reading FC. Fred was to serve as a County FA Council member for 44 years, was made a Life Member in 1971, and served as President from 1986-1990".