Dumplings:
Add flour, salt and pepper, to taste, and baking powder to a large bowl and whisk together. In a small saucepan, bring heavy cream, butter and herbs to a low simmer then add to the dry ingredients. Stir with a rubber spatula until combined. Using your hands, form dough into dumplings.
Heat a large Dutch oven over medium heat and add oil. Once oil is hot, add onions, carrots, celery and garlic. Saute until soft, 3 to 4 minutes. Add reserved broth to Dutch oven with vegetables and add the chicken. Bring to a low simmer. Add dumplings 1 at a time into the simmering soup. Cover pan with a lid and cook for 25 minutes. Add salt and pepper, to taste, if necessary.