Mini Baked Apple Pies

Preheat oven to 350 degrees F. Chop insides of the four apples and add them to a medium saucepan with butter, cinnamon, and 2 tablespoons water. Cook over medium heat, stirring ocassionally, until soft, 15 minutes. Roll out pie crust into a large rectangle and cut into thin 1/4"-thick strips. Stuff apples with cooked apple mixture and transfer to a glass baking dish. Arrange pie crust strips over apples, crisscrossing to create a lattice crust. Trim edges and brush pie crust with egg wash. Sprinkle with sugar and bake until apples are soft and bubbly and pie crust golden, 35 minutes. Drizzle with caramel and serve.