Cheeseburger with hamburger

1 1/2 lbs ground chuck (80% lean) 1 tablespoon ketchup 1 teaspoon dried basil 1/2 teaspoon dried thyme 1/2 teaspoon kosher salt 1/2 teaspoon Worcestershire[...]

1 lb lean ground beef 4 cups water 2 tablespoons chicken base 1 pint half-and-half 1 lb American cheese , cubed 1 large onion , diced 3 tablespoons butter 2[...]

3 large russet potatoes , scrubbed 1 tablespoon olive oil 1 medium onion , chopped 1/2 lb lean ground beef 1 teaspoon Worcestershire sauce 1/4 cup tomato[...]