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Preheat oven to 450F and place rack in center of oven.
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Peel, core and slice apple.
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In a medium bowl, whisk together eggs, milk, flour and vanilla until smooth.
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Melt butter in a 10-inch cast iron or other ovenproof skillet over medium heat. Spread apples in pan and cook for 4 minutes. Turn apples and continue cooking 3 minutes.
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Sprinkle brown sugar and cinnamon over apples and cook another minute or until sugar begins to melt.
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Remove pan from heat, stir apples lightly to coat with sugar, and then top with batter.
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Bake 15 minutes at 450 degrees or until mixture puffs up and turns golden brown around edges.
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Remove from oven and cut into four wedges.
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Sprinkle with lemon juice and serve with a sprinkling of confectioners’ sugar.