Belles Chicken Soup

Name: Belles Chicken Soup
Ingredients: 2 whole chickens, plus other carcasses if available; 2 yellow onions; 4 ribs celery (cut in half to fit the pot, if necessary); 4 carrots, peeled (cut in half to fit the pot, if necessary); 4 parsnips, peeled (cut in half to fit the pot, if necessary); 1 bunch fresh Italian (flat-leaf) parsley, with stems (about 20 sprigs); 4½ teaspoons kosher salt (divided); 2 teaspoons freshly ground black pepper (divided); 2 cups finely diced carrots (about 3 large, peeled); 2 cups finely diced celery (about 4 large ribs, ends trimmed); 2 cups cooked chicken (reserved from malting the broth); 1 pound egg noodles, cooked; 1 bunch fresh dill, chopped, for garnish