Handburger is a sandwich with more cooked patties
you mean a hamburger?
Hamburger
A hamburger (short: burger) is a sandwich consisting of one or more cooked patties of ground meat, usually beef, placed inside a sliced bread roll or bun. The patty may be pan fried, grilled, or flame broiled. Hamburgers are often served with cheese, lettuce, tomato, onion, pickles, bacon, or chiles; condiments such as ketchup, mayonnaise, mustard, relish, or "special sauce"; and are frequently placed on sesame seed buns. A hamburger topped with cheese is
the invention of the Hamburger, and explain the name.
There is a reference to a "Hamburg steak" as early as 1884 in the Boston Journal. On July 5, 1896, the "Chicago Daily Tribune" made a highly specific claim regarding a "hamburger sandwich" in an article about a "Sandwich Car": "A distinguished favorite, only five cents, is Hamburger steak sandwich, the meat for which is kept ready in small patties and 'cooked while you wait' on the gasoline range.