Preheat the oven to 400 degrees.Combine the peaches, the first measure of flour, the sugar and the cinnamon in a shallow (1 qt.) baking dish.
Combine the second measure of flour and the brown sugar in a mixing bowl. Cut in the butter using a pastry blender until the mixture is the size of small peas. Stir in the milk until moistened. Drop by spoonfulls onto the peaches. Bake until a toothpick inserted into the crust comes out clean (about 30 minutes). Let stand 5 minutes before serving.