Preheat the oven to 400 degrees F. Combine the mayonnaise, ketchup, mustard, relish and vinegar in a small bowl; set aside. Working in batches if necessary, add the bacon to a large cast-iron ...

Place the beef into a medium mixing bowl. Add the cream, hot sauce, Worcestershire, salt and pepper. With clean hands, mix the meat well. Set aside.

Preheat the broiler. Remove the rolls from the packaging in one piece. With a serrated knife, cut crosswise through all the rolls at once, to divide the top half from the bottom.

Using a meat grinder with a 3/8-inch plate, grind the meat. Change to a 1/8-inch plate, and grind a second time. Shape the ground meat into 4 (7-ounce) patties.

Heat the vegetable oil in a large skillet over medium-low heat. Add the onions and season with 3/4 teaspoon salt; cover and cook, stirring occasionally, until golden and soft, about 30 minutes.

Heat the oil in a large pot over medium-high heat. Add the onion and cook, stirring occasionally, until softened 6 to 7 minutes. Add the garlic and cook, stirring, until fragrant, about 1 minute.

In a saute pan brown the ground beef. Drain and set aside. In same saute pan saute onion in 1 tablespoon butter until tender. Add garlic, carrots, basil and parsley.