Preheat the oven to 425 degrees F (220 degrees C). Combine peaches, 1/4 cup white sugar, 1/4 cup brown sugar, 1/4 teaspoon cinnamon, nutmeg, lemon juice, and cornstarch in a large bowl; toss to coat evenly, and pour into a 2-quart baking dish. Bake in preheated oven for 10 minutes. Meanwhile, combine flour, 1/4 cup…