Place the turkey carcass in a large pot and cover with 10 cups of water.
Bring to a boil, then reduce the heat and let it simmer for 1.5 hours. Skim off any foam or fat that rises to the surface.
Remove the carcass and let it cool. Once cool enough to handle, pick off any remaining turkey meat and set it aside.
Strain the broth through a fine-mesh sieve to remove any debris.
Return the broth to the pot and add carrots, celery, onion, garlic, thyme, and rosemary.
Simmer for an additional 30 minutes or until the vegetables are tender.
Add the picked turkey meat back to the soup and season with salt and pepper to taste.
Serve hot and enjoy your Turkey Carcass Soup.