Interesting to note that both
Air Defence of Great Britain Vol I Growth of Fighter Command June 1936 t June 1940
The Expansion of the RAF 1934-1939
give some attention to 1922 onwards history, but neither gives the sort of detail sought.
Notably, both and esp the latter, use Establishment as an overall term, whether for total number of Squadrons or of aircraft (both in total and by Sqn) -as well as aircraft equipment IE and IR.
This is pretty much it on 1920s Sqn detail, with a range of "establishment from 12 to 15 or 18 machines per squadron":
which, and why, no mention, also no mention of the Sqn personnel establishment to operate/maintain same.
The Expansion of the RAF 1934-1939 p6
Sir Hugh Trenchard revised his proposals a little later and.
submitted the resut in a further note to the Committee of Imperial
Defence in July, 1922. In this he recommended the addition of 20
squadrons to the three which then existed for Home Defence or would
shortly be available (Nos. 25, 56 and 100). Of the additional 20, he
proposed that 15 should be regular and 5 Auixiliary Air Force squadrons.
The 23 squadrons, with the addition of machines which could be drawn from
other sources on emergency, would make a total of 501 machines "available
to cope with such enemy air forces as might attack us". (1)
(1) In a further note of August, 1922, Sir H. Trenchard explained more
fully how the figure of 501 was obtained. It was rather a hotch-
potch; it was made up of ( 1) 266 machines in the 23 Home Defence
sqµadrons; (2) 36 machines in three Reserve squadrons; (3) 64 to be
obtained from training establishments; (4) 60 more from the expansion
of establishment from 12 to 15 or 18 machines per squadron; and (5)
f'inally, a "credit" of 25 per cent on the 302 machines at (1) and
(2) in respect of the Immediate Reserve held for them, say 75 further
machines. (The French squadrons had 110 corresponding Immediate
Reserve.) (C.I.D. 115 A, August, 1922).
Manning Plans and Policy also has brief history, but gives only aggregate RAF establishment numbers re personnel & no of Squadron thoughout.
Lastly, as an example at Unit level, the 211 Squadron Ops Record Book Form 540 gives no note on strength/establishment on formation (on re-forming, Jun 37).
A roll of Pilots is given at year end, 37 & 38 (and to Sep 39), but pilot nos only: no way of winnowing total aircrew (let alone ground personnel) from that...
...then, in March 1940, remarks
"EL DABA 18/3/40 [...] The new war establishment was received today which increases the strength of the Squadron to 361 Officers and airmen."
Overall, perhaps enquiry to AHB or RAF Museum might be useful, though Ross or others may have more on the 1920s Sqn establishment, equipment, and Flights detail wanted.