Bring broth to a boil in a Dutch oven over medium-high heat. Add chicken, onion, and celery, and return to a boil. Reduce heat, and simmer 30 minutes or until chicken is tender. Remove chicken from pan, and let cool slightly.
Remove chicken from bones, discarding bones; shred chicken.
Add corn, next 9 ingredients, and chicken to Dutch oven. Bring to a boil; reduce heat, and simmer, stirring occasionally, 30 minutes or until beans are tender.