Preheat and prepare: Preheat oven to 400°F. Butter a 9×13 inch baking dish.
Unroll and cut pie dough: Unroll each circle of pie dough and cut into quarters.
Arrange apples on pie dough: Arrange the 6 peeled and cored apple halves on the pie dough – one half apple in the center of each quartered piece.
Fill apples: Cut 6 – 1/2 Tablespoon pieces of the butter, reserving the rest for later. Place one piece of butter inside each cored apple. Divide 1/2 cup of brown sugar between the 6 apples, pressing them into the cored middle with the butter. Sprinkle 1 teaspoon cinnamon and 1/2 teaspoon nutmeg over the tops.
Wrap apples with pastry dough: Wetting your fingers with water first, bring the pastry dough to the top of the apple, one corner at a time. Seal the top of the dough by pressing together with your fingers. Press the edges of the dough slightly to seal the sides of the apple inside the dough. Place apple in baking dish. Repeat with all the apples.
Make sauce: Combine remaining 1 cup brown sugar, 1/4 teaspoon cinnamon, 2 Tablespoons butter, and 1 cup water in a small saucepan. Over medium heat, bring to a slight boil. Pour sauce evenly over the dumplings.
Bake: Bake for 45 – 55 minutes, or until the tops are golden brown.
Serve: Serve each dumpling in a bowl and drizzle the extra sauce on top. Add a scoop of vanilla ice cream, if desired.
