Washing up liquid is made of chemicals too. In fact, so are tomatoes.
Bordeaux mixture seems to be considered "organic" (although I don't think there'e anything organic about copper, which is a mineral) but it is to be withdrawn from sale to the public soon - next year I think. I used it on my tomatoes at the first signs of blight (at least I think that's what it was) and it does seem to have stopped it progressing.
I'd be interested to hear if anyone has good results with the milk-and-water mixture, as that would be easy, and cheap, and legal.