Momma's Best Chicken and Dumplings

Name: Momma's Best Chicken and Dumplings
Prep time: 30 min
Cook time: 1 h 28 min
Total time: 1 h 58 min
Cuisine: Southern
Ingredients: 0.25 cup butter; 2 ribs celery, quartered; 1 large carrot, quartered; 1 small onion, chopped; 1 teaspoon mashed garlic; 2 large bay leaves; 0.5 teaspoon dried thyme; 0.5 teaspoon salt; 0.5 teaspoon ground black pepper; 0.125 teaspoon poultry seasoning; 2 pounds bone-in chicken breasts; water to cover; 2 tablespoons self-rising flour (such as White Lily®); 2 cups self-rising flour (such as White Lily®); 0.25 cup cold shortening; 0.25 cup chicken broth, slightly chilled