Southern-Style Chicken and Dumplings

Ingredients

• 5 pounds chicken leg quarters (8 to 10)
• 4 carrots, cut into thirds, plus 1 cup diced
• 3 onions, cut into large pieces, plus
• 1 cup chopped parsley
• 2 celery stalks, cut into thirds,plus 1/2 cup chopped
• 6 cloves garlic, peeled and smashed
• 6 sprigs fresh thyme
• Leaves from 1 large sprig fresh rosemary
• 2 bay leaves
• 8 cups chicken stock or canned low-sodium chicken broth
• 4 cups water
• 1 tablespoon plus 1/2 teaspoon salt
• 1/4 teaspoon freshly ground black pepper
• 1/4 teaspoon crushed red pepper
• 3 cups all- purpose flour, plus more for dusting
• 1 teaspoon baking powder
• 1/3 cup chopped mixed fresh herbs such as parsley,thyme, oregano, and chives
• 1/2 cup plus 3 tablespoons vegetable shortening
• 1 cup whole milk
• 1 tablespoon unsalted butter
• 2 cups frozen green peas