Make Apples: In a heavy bottomed skillet, melt butter over medium-high heat.
To the skillet add apples, granulated sugar, brown sugar, lemon juice, cinnamon, apple pie spice and salt. Mix well. Lower heat to medium-low. Simmer allowing to bubble gently for 15-20 minutes.
In a small bowl mix 1 tablespoon cornstarch with apple juice until dissolved. Increase heat to medium-high and stir into the apples. Remove from the heat and set aside to cool. (This can be done up to 2 days in advance and placed into the refrigerator.)
Make Cobbler: Preheat the oven to 350°F. Put 1/2 cup butter in a 13 x 9 inch baking dish OR 12 inch cast iron skillet and into the oven to melt while it preheats.
Meanwhile, in a medium size bowl whisk together self rising flour, 1 cup granulated sugar, milk, eggs and vanilla extract until fully combined.
Remove dish from oven and swirl to coat bottom and sides with butter. Pour the batter evenly into the dish.
Spoon apples and dollop all over batter. Mix together reserved 2 tablespoons granulated sugar with 1 teaspoon cinnamon and sprinkle on top.
Bake for 35-40 minutes or until golden and puffed.
Serve warm with vanilla ice cream and a drizzle of warm salted caramel sauce, if desired.