Pit, peel, and slice peaches.
Combine sliced peaches with white sugar, brown sugar, cinnamon, nutmeg, lemon juice, and cornstarch). Mix gently.
In separate bowl, combine flour, white sugar, brown sugar, baking powder, and salt.
Using a pastry blender, cut the butter into the dry ingredients until looks like a coarse meal.
Stir in water until just combined.
Scoop some peaches into each canning jar and top with cobble topping.
Sprinkle the top of each with a mixture of cinnamon sugar.
Place jars on baking sheet and bake in preheated *400 oven. Bake for 20-25 minutes or until the top is golden brown.
Serve with vanilla ice cream or fresh whipped cream.