Chicken and Dumplings

Name: Chicken and Dumplings
Ingredients: 1 (3 to 31/2 pound) whole organic chicken; 2 bay leaves; 6 sprigs thyme; 4 to 5 black peppercorns; 1 head garlic, split through the equator; 2 tablespoons salt; 2 cups all-purpose flour; 1 tablespoon baking powder; 1 teaspoon salt; 2 eggs; 1/4 cup chopped chives; 3/4 to 1 cup buttermilk; 2 tablespoons butter; 2 tablespoons oil; 2 carrots, diced; 2 stalks celery, diced; 2 cloves garlic, minced; 1/4 cup all-purpose flour; 6 cups chicken stock; 1 cup frozen peas; 1 cup frozen pearl onions; 1/4 cup heavy cream; Freshly ground black pepper, for garnish; Chopped chives, for garnish