If needed, brown the ground beef in a large pot or Dutch oven. Drain and set aside.
In a large pot or Dutch oven, melt the butter and saute the chopped onion, celery and carrots for 3 to 4 minutes. Stir in the minced garlic, browned ground beef, dried thyme and dried basil. Saute another 2-3 minutes.
Pour in the chicken stock and water and bring to bubbling. Once it reaches a rolling boil, add the elbow pasta noodles and return to bubbling. Then, reduce heat to medium and let simmer for 8 to 10 minutes, or until elbow noodles are softened.
Stir in the heavy cream, Parmesan cheese, and shredded cheddar cheese. Stir in until it melts. Season with salt and pepper.
Serve Mac & Cheeseburger Soup with favorite side dishes.