Roasted Chicken:
1 (3-pound) whole chicken
Salt and freshly ground black pepper
4 ounces unsalted butter, softened
1 lemon, halved and juiced; halves reserved
1/4-cup fresh chopped herbs, such as thyme, parsley and rosemary
1 onion, halved
4 garlic cloves, smashed
Fresh whole herbs, such as rosemary, thyme and parsley sprigs

Chicken Stock:
2 tablespoons olive oil
2 carrots, cut in large chunks
2 celery stalks, cut in large chunks
1 onion, halved
1 garlic bulb, halved
Reserved chicken bones
2 quarts cold water
4 sprigs fresh parsley
4 sprigs fresh thyme
2 bay leaves

Dumplings:
2 cups flour
1 tablespoon baking powder
1 teaspoon salt
2 eggs
3/4 to 1 cup buttermilk

Supreme Sauce:
2 tablespoons butter
1 tablespoon oil
1/2 cup diced carrot
1/2 cup diced celery
3 cloves garlic, minced
2 bay leaves
1/4 cup flour
6 cups chicken stock
1/4 cup heavy cream
Freshly ground black pepper, for garnish
Chopped flat-leaf parsley, for garnish