In a large bowl combine one cup of flour, salt, and yeast, set aside. Combine the heavy cream, water, and butter, heat in the microwave to 120 to 130 degrees F.

(Cut the cream cheese into small cubes). Add the 1/2 cup brown sugar and cream cheese to the cream mixture and stir. Pour this mixture into the dry ingredients and stir with a wooden spoon until combined.

Add the egg and mix in. Add one more cup of flour and mix in with a wooden spoon.

Gradually add the rest of the flour, mixing and kneading by hand. You will want your dough to be slightly sticky to the touch; too much flour will make you buns dry.

Grease the bottom of the pan and turn over dough to coat both sides.

Cover the pan and set in a warm place. Let rise for about an 1 1/2 hours or until the dough is about double in size.

While the dough is rising make your filling. Peel the apples and cut into thin slices.

In a skillet add the 1/4 cup butter and heat pan. Add the 1/3 cup granulated sugar and mix in. Add the apples and flour. Cook over medium heat stirring constantly for about 10 minutes or a little more, the apples should be fork tender. Cool completely.

Once the dough is double in size dived the dough into 4 equal parts. Taking one section of dough at a time, pat it out into a 8 by 8-inch square. Cut into four equal squares, you should end up with sixteen squares. Divide the apple filling between the sixteen square, about 1 tablespoon on each square.

Bring the corners of the squares up over the filling and pinch together. Place the pinched side down on a greased baking sheet about 2-inches apart.

Let rest for 30 minutes.

Preheat oven to 375 degrees F. Once the buns have rested for 30 minutes place in the preheated oven, bake for 12 to 14 minutes or until the buns are browned over <g class="gr_ gr_256 gr-alert gr_gramm gr_disable_anim_appear undefined Grammar only-ins doubleReplace replaceWithoutSep" id="256" data-gr-id="256">top</g>.

Remove from oven and cool completely.

While the buns are cooling mix the icing. Add the 2 1/4 cup of powdered sugar and cinnamon to a small bowl and combine. Gradually add enough milk to make an icing that is the right consistency for drizzling over the buns.

These buns can be frozen.