Melt the butter in a large Dutch oven or heavy-bottomed pot and saute the onion, carrots, celery, garlic, thyme, oregano, parsley, basil, and paprika until soft, about 4 minutes.
Sprinkle in the flour and cook for 2 minutes. Whisk in the chicken broth and add the diced potatoes. Bring to a boil and simmer for 20 minutes.
Add the shredded chicken, half and half, and noodles. Cook for 10 minutes more until the noodles are fully cooked. Season with salt and pepper, and serve hot.