Preheat oven to 425°F. Spray a large Dutch oven with cooking spray.
Dice chicken into small, bite-size pieces. Place celery, carrots, onion, chicken broth, condensed soups, uncooked diced chicken, and poultry seasoning in the prepared pot.
Cover and place the pot in the oven. Bake for 45 minutes, or until chicken is cooked through and the vegetables are tender.
Meanwhile, chop each biscuit dough round into 8 bite-sized pieces. Place the biscuits in a large bowl or gallon-size Ziploc bag. Add the cornmeal and toss to coat the biscuits in the cornmeal.
After 45 minutes, remove the pot from the oven. Give the chicken a good stir, and then add the chopped biscuit dough. Cover, and return to the oven for 15 more minutes (or until the biscuit dough is cooked through). Ladle the chicken and dumplings into bowls and garnish with fresh herbs.