Set aside 1/2 cup of flour.
In a large bowl add 2 1/4 cups of flour, sugar, salt, and yeast together until evenly mixed and then set aside.
In a double boiler (not sure how to make a double boiler, learn how to make a double boiler at home) combine the water, milk, and butter together until the butter is melted and the mixture is hot to touch.
Pour the butter mixture into the flour mixture and mix well.
Next add the egg and the leftover flour to the cinnamon roll dough mixture, to make a soft dough. Start with 1/3 a cup working up to using 1/2 cup until the dough is ready. The dough is ready when it pulls away from the side of the bowl and has an elastic consistency.
Knead the dough for about 3-4 minutes on a floured surface.
Grease another bowl, add the dough to the greased bowl and cover with a kitchen towel. Leave the dough in the bowl to rise and rest for about 10 minutes.
While the dough is resting make your apple pie cinnamon roll filling. Mix the cinnamon and sugar in a bowl and set aside.
Once your dough is ready, roll it out in a rectangle. Spread the butter on top then sprinkle the dough with cinnamon and sugar mixture, then spread the applesauce on top.
Roll up the dough tightly by squeezing the edges closed, then cut into 1- 1 1/2 inch wide pieces.
Prep your cast Iron Skillet (or circle baking pan if you don't have one) with non stick spray. Place cinnamon rolls into pan (you want the top to be the part where you can see the filling on the inside)
Put the skillet in a draft-free area, that is warm and loosely cover with a kitchen towel to allow them to rise for 60-90 minutes.
As it gets time to bake them preheat the oven to 375 degrees and when the oven is ready place in the oven and bake for 25-30 minutes until they are lightly browned.
While the cinnamon rolls are baking make the frosting.
In a bowl, combine the vanilla, corn syrup, and lemon juice in a small bowl. Whip cream cheese and butter together. Continue to beat while adding the two mixtures together.
Scrape the sides of the bowl and mix again, you want this mixed well.
Pour in the powdered sugar and stir slowly until it starts to incorporate. Then mix on high for 5 minutes or until frosting starts to lighten in color. Scrape the sides of the bowl and mix it together again briefly.
Once rolls have been removed from the oven, frost using half the amount made. let them cool and then frost again.