Shepherds Pie Recipe

Name: Shepherd's Pie Recipe
Ingredients: 1 tablespoon vegetable oil; 1 large onion, peeled and diced; 1 large carrot, peeled and diced; 1 pound ground beef; 1 cup beef or chicken broth; 1 tablespoon tomato paste; 1 teaspoon fresh thyme leaves; 1 tablespoon chopped Italian parsley; 1 cup frozen peas; 2 pounds russet potatoes, peeled and cut into chunks; 6 tablespoons unsalted butter; 1/2 cup milk; salt to taste