Preheat oven to 450.
Place a 10" cast iron skillet on the stove over medium high heat to preheat.
Whisk together the eggs and milk; mix in the flour and 1 T sugar until only small lumps remain.
Melt 2T butter in the skillet, brushing it to the edges of the pan, then pour in your batter. Arrange apples over the top.
Bake in the preheated oven for about 15 minutes (half that time if you are using small skillets). Mix the brown sugar, remaining 1/4 cup sugar and cinnamon in a small bowl.
Remove from the oven. Sprinkle sugar mixture over the top of the pancake and dot with remaining 1 T butter. Use a wide pancake spatula to carefully flip pancake over.
Return the pancake to the oven and bake for another 7 minutes, until pancake has puffed up. Remove from the oven, invert onto plate and serve.