Preheat your oven to 425.
If using frozen peaches, allow them to thaw before making your dumplings.
In a large bowl mix together the flour and salt.
Using a fork, cut in the shortening until it makes a crumbly mixture.
In a small bowl, combine the egg yolk, water, and lemon juice.
Mix the egg mixture into the shortening mixture using a fork.
Mix until you have a soft dough (you may have to mold a bit with your hands, and not just the fork.)
Roll your dough out into a 12"x18" rectangle, then cut into 6 even-ish squares. Feel free to trim the dough to make even squares.
Grease a 9x12 baking dish and place one dough square inside.
Make the cinnamon sugar mix in a bowl.
Roll a peach half in the cinnamon sugar mic and place on the dough square, flat side down.
Pinch all four corners of the dough up to the center of the dumpling. Wet the dough edges if needed to make them stick.
Repeat five more times.
Boil the sugar and water until it's a rolling boil, then pour over all the dumplings.
Place immediately in the oven at bake at 425 for 40 minutes.
Let them cool for 10 minutes until serving.