Heat a large stockpot over medium heat. Crumble the hamburger into the pan and cook evenly until brown. Add all ingredients except the elbow noodles. Stir to blend, then cover and simmer over low heat for at least an hour, stirring occasionally.
In a separate medium pot, cook the elbow noodles. Add them to the chili 10 minutes before serving. Garnish with shredded cheese.