Gently toss peaches, brown sugar, cinnamon, nutmeg, cornstarch, and lemon juice together until well combined.
Pour into prepared baking dish and spread out into an even layer.
Use a small cookie scoop to scoop the cobbler topping over the filling.*
Use your hands to gently press down and spread out the topping.*
Sprinkle turbinado sugar over the top.
Bake in preheated oven for about 60 - 75 minutes (1 hour - 1 hour 15 minutes) or until the filling has thickened and the topping has cooked.
Cool for 20 minutes in the pan before scooping and serving with vanilla ice cream!