In a 1 1/2- or 2-quart slow cooker, combine carrots, green beans, celery, corn, onion, garlic, thyme, rosemary, and salt & pepper. Top with chicken. Pour broth over mixture in cooker.

Cover and cook on low-heat setting for 7 to 8 hours or on high-heat setting for 3 1/2 to 4 hours.

To make dumplings, stir together flour, cornmeal, baking powder, and salt in a medium sized bowl. In a small bowl combine egg white, milk, and oil. Add egg mixture to flour mixture; stir just until moistened.

With chicken still in the pot, break it up into pieces or shred it. In a small bowl, combine milk and flour until smooth. Stir into mixture in cooker.

Using a spoon, drop Cornmeal Dumplings dough into 8 mounds on top of hot chicken mixture. Cover and cook for 20 to 25 minutes more or until a toothpick inserted into a dumpling comes out clean. (Do not lift cover during cooking.)