Preheat your oven to 350ºF. Line two baking sheets with parchment paper or aluminum foil. Melt the butter in a large, deep skillet over medium heat. 1 tablespoon butter
Add the onions and cook, stirring often, until they start to soften and turn translucent, about 5 minutes. Stir in the garlic and cook an additional 30 seconds.
1 small onion, 2 cloves garlic
Add the ground beef to the skillet and season with salt and pepper. Cook, breaking up with a meat chopper or spatula into fine crumbles until no longer pink, about 5-7 minutes. 1 pound ground beef, salt, pepper
Stir in the carrots and potatoes and cook until just starting to soften, about 3-5 minutes. They will still be a little on the hard side at this point.
2 carrots, 1 large potato
Mix in the tomato paste, Worcestershire sauce and thyme until evenly blended.
1 tablespoon tomato paste, 1 tablespoon Worcestershire sauce, 1 teaspoon dried thyme
Sprinkle in the flour and stir to combine.
2 tablespoons all purpose flour
Carefully pour in the beef stock. Raise the heat and bring to a boil, then reduce and simmer until the sauce is thickened and the vegetables are tender. This may take 5-10 minutes.
2 cups beef stock
Stir in the peas, taste and season with salt and pepper, as needed. Set the mixture aside while you prepare the pie crust.
1/2 cup peas
Using a large biscuit cutter, cut as many circles as you can in the dough. You can combine and re-roll the dough as needed. 2 packages pie crust
Whisk together the egg and 1 tablespoon of water. Set aside.
1 egg
Add 1 heaping tablespoon of the ground beef filling to the center of a 3-inch pie crust. You may need to use more or less depending on the size of the pie circles you cut.
Brush the edge around the filling lightly with the egg wash. Place a second pie crust circle over the top of the filling. Using the tines of a fork, press the edges together to seal all the way around.
Cut a slit in the center of the pie crust and transfer to a prepared baking sheet. Repeat with the remaining pie crust.
Brush the tops of the pies lightly with the egg wash.
Bake for about 20 minutes or until the filling is heated through and the pie crust is golden.
Allow to cool before serving - the filling gets very hot during baking.