Paprika Chicken with Saffron Dumplings

Name: Paprika Chicken with Saffron Dumplings
Ingredients: 1 tablespoon vegetable oil; 10 chicken thighs, or bone-in breasts, if preferred; 2 stalks celery, chopped; 1 carrot, julienned; 1 medium onion, chopped; 2 cloves garlic, finely chopped; 3 tablespoons paprika; 2 (15 1/4-ounce) cans chicken broth; 1 cup water; Freshly ground pepper, to taste; 1/3 cup milk; 1/2 teaspoon saffron threads; 1 cup pastry flour or soft-wheat all-purpose flour; 1 1/2 teaspoons baking powder; 2 tablespoons vegetable shortening or margarine; 1/2 cup finely chopped fresh flat-leaf parsley, for garnish