Cook noodles according to package directions, omitting salt and fat. Drain.
Melt butter in a large Dutch oven over medium-high heat. Add smoked ham; cook 8 minutes or until lightly browned, stirring frequently. Add chopped onion and next 6 ingredients (through garlic); cook 5 minutes or until vegetables are just tender, stirring frequently. Add collard greens; cook 1 minute, stirring constantly. Stir in vinegar; cook 1 minute. Stir in chicken broth; bring to a boil. Cover, reduce heat, and simmer 12 minutes. Stir in the egg noodles and black pepper, and cook 1 minute or until thoroughly heated.