Homemade Mom's Turkey Soup with Tender Noodles

Ingredients

• 1 cooked turkey carcass, from a 10- to 14-lb turkey, most meat removed
• 10 cups (2.4 L) cold water, or enough to cover bones by 1 inch
• 1 medium yellow onion, quartered
• 2 celery stalks, roughly chopped
• 1 large carrot, roughly chopped
• 1 bay leaf
• 1 teaspoon dried thyme
• 1/2 teaspoon black peppercorns
• 1 tablespoon olive oil
• 1 medium yellow onion, diced
• 3 medium carrots, sliced
• 3 celery stalks, sliced
• 2 cloves garlic, minced
• 8 cups (1.9 L) strained turkey broth
• 3 cups (420 g) cooked turkey, shredded or chopped
• 2 cups (120 g) dry egg noodles
• 1 teaspoon kosher salt, plus more to taste
• 1/2 teaspoon black pepper
• 2 tablespoons chopped fresh parsley