In a mixing bowl, combine flour and salt. Add cold butter and mix until crumbly.

Gradually add ice water, mixing until the dough comes together. Divide into two discs, wrap in plastic, and refrigerate for at least 30 minutes.

In a bowl, combine diced peaches, sugar, lemon juice, cornstarch, and cinnamon. Mix well and set aside.

Preheat the oven to 375°F (190°C). Roll out one disc of dough on a floured surface to about 1/8 inch thick.

Cut out circles using a cookie cutter or a glass. Place a tablespoon of filling on one half of each circle. Fold over and seal the edges with a fork.

Repeat with the second disc of dough. Place the pies on a baking sheet lined with parchment paper.

Brush the tops with beaten egg and sprinkle with sugar.

Bake in the preheated oven for 25-30 minutes or until golden brown. Let cool before serving.