When I was a kid, a sandwich, billed as "Hamburg Barbeque", was wildly popular for a decade or so. It was served at a grammar school fair, Church functions, wedding receptions, etc. Its aroma of it could be frequently detected wafting throughout the development - where I resided. The original recipe follows.
In a 12 inch skillet, brown the ground beef and onion in butter or oil. If the ground beef yields a ton of grease, remove it by draining the beef/onion mixture with a slotted spoon. Place the drained beef/onion into a dish, then discard the grease from the skillet. Return the ground beef/onion mixture to the skillet.
Combine the ground beef/onion mixture with ketchup, vinegar, sugar, mustard and Worcestershire. Stir. Add salt and pepper to taste. Simmer over a low flame until most of the moisture evaporates. Stir frequently. Serve with potato chips and flagons of birch beer.