1. Preheat oven to 350°F. Grease 13 x 9 inch baking dish.
2. In large skillet, melt butter over medium heat; cook onion, celery, garlic, thyme, salt and pepper for about 5 minutes or until softened. Let cool slightly.
3. In large bowl, combine onion mixture, chorizo and ham; toss with cornbread and eggs. Stir in broth.
4. Transfer to prepared baking dish. Cover with foil; bake for 30 minutes. Remove foil; bake for 15 to 20 minutes or until stuffing is set in the center and golden on top. Let stand for 5 minutes before serving. Sprinkle with parsley.