Place the chicken in a large pot and cover with chicken broth. Bring to a boil, then reduce heat and simmer for 60-90 minutes, or until the chicken is cooked through.
Remove the chicken from the pot and let it cool slightly. Shred the chicken and set aside.
Add the onion, carrots, and celery to the pot and simmer for 10-15 minutes, or until tender.
Add the bay leaves, thyme, and pepper to the pot. Simmer for another 5 minutes.
Add the egg noodles to the pot and cook according to package directions.
Return the shredded chicken to the pot and heat through.
Remove the bay leaves before serving. Garnish with fresh parsley.