Old Fashioned Chicken and Dumplings

Name: Old Fashioned Chicken and Dumplings
Prep time: 20 min
Cook time: 1 h 30 min
Total time: 1 h 50 min
Cuisine: American, Southern
Ingredients: 1 tablespoon vegetable oil; 1 chicken, cut into pieces; 1 onion, cut into large chunks; 2 large carrots cut into large chunks; 3 stalks celery cut into large chunks; 8 cups chicken broth; 1 teaspoon Italian seasoning; 2 bay leaves; salt and pepper to taste; 1 3/4 cups flour, plus extra for dusting; 1/2 teaspoon baking powder; 1/2 teaspoon salt; 6 tablespoons butter, cold; 3/4 cup milk or buttermilk; parsley for garnish; 3 tablespoons butter; 2 carrots, chopped; 2 celery stalks, chopped; 3 tablespoons all-purpose flour