AOG
"Even in the days of the WW2 blackouts, women and girls were safe to walk home alone"
It might have seemed like that at the time, but actually there's evidence subsequently coming to light suggesting otherwise. Other posters have already given you numerous examples of sadistic murderers active during the Blitz (who have largely been forgotten). There's also Bob Davies, a bomb disposal officer who was discovered to have engaged in systematic theft and conning of numerous people in the course of his duties.
http://en.wikipedia.org/wiki/Robert_Davies_(GC)
What about the problem of looting after properties had been bombed? There's far too much evidence of that to ignore.
Joan Veazey, a resident of South London during the Blitz (so someone who was just as alive at the time as you were) wrote in her diary that "The most sickening thing was to see people like vultures, picking up things and taking them away. I didn't like to feel that English people would do this, but they did."
In November 1940, the Daily Mirror ran an editorial saying that "Fines and imprisonment have done nothing to stop the ghouls who rob even bodies lying in the ruins of little homes. Looting is in fact on the increase."
We even have numerous court cases and records of those who were caught in the act - plenty of prosecutions are on record from the Blitz for offences such as stealing from the dead, defrauding the services for compensating those who had their homes destroyed, and of course more looting. There's around 10,000 recorded prosecutions for looting during the Blitz.
Links, including from your beloved Daily Mail AND the left-leaning Guardian. All of them reference testimonies from people who were there (just like you were), some of them reference contemporary newspapers, others reference records of persecutions. The evidence is absolutely overwhelming.
http://www.dailymail.co.uk/news/article-1307547/Loose-women-looting-murder--darker-Blitz-Spirit.html
http://www.guardian.co.uk/society/2010/aug/29/blitz-london-crime-flourish-blackout
http://www.spartacus.schoolnet.co.uk/2WWcrime.htm
http://www.theweek.co.uk/politics/3149/nation-looters-it-even-happened-blitz
Cont.