• To make grilled onions: Place sliced onions on a microwave-safe plate.  Cook for 5-6 minutes in microwave until onions are soft. In a large nonstick pan, add olive oil and heat.  Add cooked onions and 2 tablespoons of Worcestershire sauce.  Sauté on medium-high heat until onions are very soft and browned, about 8 minutes.  Stir often.  Keep warm or reheat before serving.
• Lightly oil grill and heat barbecue to medium.
• In a large bowl, add ground beef, egg white, grated onions, Worcestershire sauce, seasoning salt and pepper.  Using your hands or a fork, gently mix together.  Handle the meat as little as possible–the more you work it, the tougher it gets.
• Shape mixture into 6 patties.  Form patties as large as the bun since they shrink when cooked.  Place burgers on grill, close lid, and cook until NO LONGER PINK INSIDE, turning once, about 5 minutes per side.  If using an instant-read thermometer, it should read 160F.  Try not to abuse your burgers by pressing with a spatula, pricking with a fork, or turning frequently as precious juices will be lost!
• Top each patty with cheese during the last minute of cooking.
• Remove patties and add to buns. Top each with tomato slices and grilled onions.  Let everyone dress their own.  Serve with condiments such as thousand island dressing, ketchup, and mustard.

Instructions for The Thousand Island Dressing

• In a small bowl mix together all the dressing ingredients.  Refrigerate until ready to use.
• Makes about ½ cup