Wild Mushroom Stuffing

Name: Wild Mushroom Stuffing
Ingredients: 1 turkey liver or 2 chicken livers, diced; 3 tablespoons extra-virgin olive oil, divided; 4 shallots, finely diced; 2 cups finely chopped onions; 2 large eggs, lightly beaten; 2 pounds chanterelle mushrooms or mixed wild mushrooms, stemmed, cleaned and coarsely chopped; 1/4 cup chopped Italian parsley; 10 cups day-old bread, crusts removed, cubed; 1 teaspoon salt; 8 cloves garlic, minced; 3 tablespoons unsalted butter; Freshly ground pepper to taste; 3 cups low-fat milk; 2 teaspoons finely chopped fresh thyme