in med. bowl, mix lightly but thoroughly beef, crumbs, worcestershire sauce and pepper. shape in 4 oval patties. enclose a cheese stick in each patty, covering cheese completely and tightly. brown patties in a little butter in pan.
in skillet with cover, bring broth and water to boiling. add patties to skillet. surround with onions. cover. simmer over low heat for 20 minutes. remove meat.
blend cornstarch with a small amount of cold water. stir into skillet. cook mixture, stirring until thickened. add meat and heat if necessary.