Chicken and stock ingredients:
1 (3 1/2 pound) frying chicken
1 carrot
1 celery stalk
1 small onion, halved
2 teaspoons salt
Pie crust ingredients:
1 1/2 cups all-purpose flour
1/2 teaspoon salt
1/2 cup (1 stick) chilled unsalted butter, diced into 1/2-inch cubes (best to chill cubes in the freezer for at least 15 minutes before using)
1/4 cup vegetable shortening, chilled
3 to 4 Tbsp ice water
Chicken Pot Pie Filling:
6 Tbsp unsalted butter
1 large onion, diced (about 1 1/4 cups)
3 carrots, thinly sliced on the diagonal
3 celery stalks, thinly sliced on the diagonal
1/2 cup all-purpose flour
1 1/2 cups milk
1 teaspoon chopped fresh thyme leaves
1/4 cup dry sherry
3/4 cup green peas, frozen or fresh
2 Tbsp minced fresh parsley
2 teaspoons salt
1/2 teaspoon freshly ground black pepper
Egg wash:
1 egg whisked with 1 Tbsp water