Mushroom Burgers

Name: Mushroom Burgers
Ingredients: 2 tablespoons olive oil, divided; 1 large shallot, finely chopped; 2 pounds portobello mushrooms, finely chopped; 1/2 cup button mushrooms (roughly chop); 2 garlic cloves, minced; 1/2 cup carrots, minced; 1/4 bunch of Italian parsley, washed, stems removed, finely chopped; 2 cups fresh bread crumbs (about 3 slices); 1 egg; 1 1/2 tablespoons balsamic vinegar; Salt and pepper to taste; 4 ounces Stilton cheese, crumbled; Hamburger buns