Melt the butter in a 6-quart pot over medium heat. Add the garlic, carrots, celery root, turnip, rutabaga, onion, diced fennel and a large pinch of salt; cook until the vegetables are tender, about 5 minutes.

Add the wine, 6 cups water, fennel seeds, thyme and bay leaves; bring to a simmer. Add the chicken and simmer for 2 hours. Remove the chicken and let cool. Pick off the meat in shreds; set aside.....