Crumpp: first wave

From Shores, 7th of Sept 1940. 1st big raid on London.
348 Bombers, 617 fighters.
That's the Day mentioned from Johnny above. All in all some 20 squadrons of the RAF are defending.
From Martin Gilbert, same day: 300 bombers and 600 fighters.
On the 15th of September, he actually gives 230 bombers and 700 fighters.
Gilbert also provides some LW sortie numbers. On a good day there could be 2 sorties while there still was daylight.
13/8 1.485
14/8 1.270 fighter and 520 bomber.
ORDER OF BATTLE
(well, the numbers I have)
Spits and Hurricanes of the RAF, 8. Aug 1940
10th group 7
11th group 19
12th group 11
13th group 12
LUFTWAFFE
Luftflotte II
5 JG's of 109's, 2 ZG's of 110's
Luftflotte III
3 JG's of 109's, 1 ZG of 110's
Erpr.Gruppes are not included in this list.
That makes, none the less, according to your own sources, 800 109's or so, as well as 224 110's. Might have to subtract a few because of the Erpr.gruppes.
BTW, your RAF numbers look to me as a tad high. From the timeframe I have I get 588. It probably includes the NF's, and OTU's, as well as squadrons being formed and some reserves.
Anyway, you put something up
"Point is that almost every RAF base was within easy range of London. Within a very short period the RAF could move force within the theater"
Could have and should have...Scotland , Wales and even N-Ireland do not have the time to intercept a raid heading even as far as London. And another thing enters the equation. Luftflotte V. There is a lot of heavy industry in the NE of England, - Newcastle, Sunderland etc., While there are also big NAVY bases which need to be covered. While the RAF had the option of leaving half the island naked (which the LW thought they had), they DIDN'T. 13th group saw little action, - but served as a somewhat welcome rest for rotation perhaps.
In the meantime, the 109's could and did Exclusively work on the south.
The biggest number of RAF fighters making it to the mix, - that I found so far, were all available squadrons from 11th group, the Duxford wing, and 2 squadrons from 10th. Those are able to make it decently when the Luftwaffe has some headwind, and/or are hitting well inland. Yet, as you can see if you scroll upwards and re-read a little, the highest number attacking at once, is some 36 aircraft. Didn't find any bigger yet.
To those down to 12, attacking hundreds, it has been described as that the LW fighters were so dense that they were like the escalator on Piccadilly Circus!
Now the quest is yours. Find me bigger numbers

Actual engagements in the south of England where 109's get swamped by RAF fighters, and please, while yer at it, prove Gilbert and Shores to be publishing rubbish.