In a mixing bowl, combine flour, milk, vanilla, and eggs.
Mix until well combined.
In another bowl, mix brown sugar, granulated sugar, and cinnamon.
Place butter in a 10-inch Pyrex pie dish.
Put the dish in the oven at 400°F.
Wait for the butter to melt completely.
Remove the dish from the oven carefully.
Pour the batter into the Pyrex dish.
Return the dish to the oven for 20-25 minutes.
Watch for the edges to puff up.
Remove the dish from the oven halfway through cooking.
Spread the apple mixture over the batter.
Place the apples evenly on top.
Sprinkle the sugar and cinnamon mix over the apples.
Return the dish to the oven for another 20-25 minutes.