1 (8 ounce) can refrigerated reduced-fat crescent roll dough
1 tablespoon water, or as needed
1 teaspoon brown sugar, or to taste
Preheat oven to 375 degrees F (190 degrees C).
Place 1 cup peaches into 8 individual ramekins. Mix 1/2 cup water and white sugar together in a bowl; stir until sugar is dissolved. Evenly divide sugar mixture over peaches. Sprinkle peaches with cinnamon and nutmeg. Dot about 3/4 teaspoon butter onto each serving of peaches.
Unroll and separate crescent roll dough; completely cover peaches in each ramekin with 1 piece of dough. Cut small slits into each roll for ventilation during baking. Lightly brush each roll with water and sprinkle each with about 1/8 teaspoon brown sugar. Arrange ramekins onto a baking sheet.
Bake in the preheated oven until cobblers are browned, 11 to 13 minutes. Allow cobblers to cool for 20 minutes before serving.