Preheat the grill to 400 degrees. *See notes for campfire and oven directions.* Cut four strips of heavy duty aluminum foil about 2 ft long.
Add the beef, salt, pepper, garlic powder, and Worcestershire sauce to a bowl. Use your fingers to gently work the seasonings into the beef. Form into four patties.
Combine the potatoes, mushrooms, and onions with the olive oil and garlic powder, paprika, oregano, and parsley. Sprinkle with salt and pepper.
If you're making these on the campfire, lay a cabbage leaf on the bottom of each strip of foil before adding the veggies. Otherwise, layer the packets with veggies first and the burger patty on top.
Bring the two short sides together and fold them down to seal. Fold/roll up the remaining two sides.
Place directly on the grill grates, cover and cook for 25-30 minutes, or until the burger registers 165 degrees.
Carefully (really carefully--the steam can be very hot!), unwrap the packets. If desired, place a slice of cheese on top of each burger. Loosely roll back up and allow the cheese to melt for a few minutes. Top the burgers with Miracle Whip or Heinz Simply Ketchup plus your favorite toppings and serve.