Njaco
The Pop-Tart Whisperer
This is a bit of a myth. The first significant attack on London came on the 15th August when the Luftwaffe mounted a planned attack on an airfield in Croydon (they hit Croydon airport rather than Kenley, but both were in Croydon). 60 civilians were killed when bombs hit civilian buildings outside the airfield.
The next day the Luftwaffe attacked more targets in London, killing 15 civilians in Wimbledon.
Going by memory, these areas weren't London proper AT THAT TIME as they might be now. I'm not very good on locales in and around London. But there were some areas hit that are now a part of London.
Several years ago I did this thread which has the best numbers that I could produce. All sources are listed at the front....
http://www.ww2aircraft.net/forum/ww2-general/day-battle-britain-25360.html