Chicken and Dumplings

Ingredients

• 3 1/2 pounds bone-in chicken pieces, preferably dark meat
• 1 1/2 teaspoons kosher salt, plus more as needed
• 1/2 teaspoon freshly ground black pepper
• 4 tablespoons (1/2 stick) unsalted butter
• 2 carrots, diced
• 2 celery stalks, diced
• 1 Spanish onion, diced
• 1 turnip, peeled and diced
• 4 garlic cloves, smashed
• 1/4 cup all-purpose flour
• 1 quart chicken stock, preferably homemade
• Chopped fresh parsley or celery leaves, for serving
• 1 1/2 cups all-purpose flour
• 1/2 cup fine cornmeal
• 1/4 cup minced fresh chive (optional)
• 2 teaspoons baking powder
• 3/4 teaspoon kosher salt
• 1/4 teaspoon freshly ground black pepper
• 2 tablespoons butter, melted
• 3/4 cup whole milk