When xxx and his neighbor yyy discover an old radio, he is enamored by a weekly science broadcast from an unknown little girl with fire for a heart. Cities away, zzz sits in her father’s attic, and - with the help of a museum curator named aaa - creates her own radio show. The story follows both of them from the lonely years of their childhood, to the very last night of London Blitz, where their lives finally converge for the first time.
Hint: http://www.mkars.org.uk/uploads/files/library/hamsatwar.pdf
This seems to be an honest mistake by a fanfic author who appears not to know much about life in Britain during WW2, and I'm not going to link to it because she's going to try to write around it. But it just shows how important it is to do your research!