In a mixing bowl, combine the flour and salt.

Add the diced butter to the flour mixture and use a pastry cutter or your fingers to mix until it resembles coarse crumbs.

Gradually add ice water, one tablespoon at a time, mixing until the dough comes together.

Wrap the dough in plastic wrap and refrigerate for at least 30 minutes.

In a bowl, mix the diced apples, brown sugar, cinnamon, and lemon juice.

On a floured surface, roll out the dough to about 1/8-inch thickness.

Cut the dough into circles, about 5-6 inches in diameter.

Place a spoonful of apple filling on one half, then fold over and seal the edges.

Place the hand pies on a parchment-lined baking sheet.

Brush with beaten egg and bake at 375°F for 25 minutes or until golden brown.