Start the chicken: put all "chicken" ingredients in a med-to-large pot, bring to a boil, then simmer for 20 min. Take the chicken out and pull into small pieces. Set aside.
While the chicken is cooking, work on the dumplings: Combine flour, salt, baking powder, then cut butter into flour mix. Add water or milk and knead the dough into a ball. Set aside and let it rest for 10 min.
Roll the dough flat, about 1/8 inch thickness. Cut (best w pizza cutter) into 1-2 inch squares. Use plenty of flour.
Bring the broth back to a boil on med high heat. Drop dough pieces into the pot one at a time, pulling them thinner if needed. Cook on med-high heat till the dumplings float to the top. Then reduce to low heat, cover and simmer for 10-20 min untill dough is cooked through.
Add the chicken pieces back in. Add the cream of chicken soup. Mix flour and corn starch with milk or cream or just water, pour in and stir gently. This'll thicken the soup to a gravy consistency. Use more or less flour to reach desired thickness.
Serve while hot. Best with a side of corn. Refrigerate any left overs. Or divide into individual portions and freeze. Recipe makes 6-8 servings.