Chicken And Dumplings

Name: Chicken And Dumplings
Ingredients: 2 tbsp Butter; 2 tbsp Olive Oil; 1/2 cup All-purpose Flour; 1 whole Chicken, Cut Into Pieces (cut Up Fryer); Salt And Pepper; 1/2 cup Finely Diced Carrots; 1/2 cup Finely Diced Celery; 1 whole Medium Onion, Finely Diced; 1/2 tsp Ground Thyme; 1/4 tsp Turmeric; 6 cups Low Sodium Chicken Broth; 1/2 cup Apple Cider; 1/2 cup Heavy Cream; 1 1/2 cups All-purpose Flour; 1/2 cup Yellow Cornmeal; 1 tbsp heaping Baking Powder; 1 tsp Kosher Salt; 1 1/2 cups Half-and-half; 2 tbsp Minced Fresh Parsley (optional); Salt As Needed