Line a 12 inch cast iron skillet with parchment paper. Lightly spritz the paper with oil, or brush it with 1 Tb melted butter. Set it aside for now.
Grate one of the apples into a small dish, discarding the core. The other apple, cut into 1/4 inch slices, horizontally through the apple. Carefully remove any seeds from the apple slices. Set these aside for now.
In a bowl, combine the flour, baking powder, cinnamon, salt, ginger and nutmeg. Stir these together and set aside for a moment.
In your mixing bowl, lightly beat 3 eggs with a whisk.
Add in the sugars, milk, oil and vanilla extract, and whisk these all together.
Add in the dry ingredient mixture, whisk until just combined.
Fold in the grated apple.
Pour the cake batter into your prepared pan.
Arrange the apple slices on top of the cake.
Bake for 45-50 minutes, or until the cake tests done with a wooden toothpick.
Set the cake on a rack to cool completely.
When the cake is cooled, whisk the glaze ingredients in a small bowl. If the glaze is too thick, add a tiny bit of water - 1/2 teaspoon at a time - until it is the right consistency. Drizzle the lemon glaze all over the top of the cake.