Cornbread Stuffing

Name: Cornbread Stuffing
Ingredients: 8 Tbsp. unsalted butter, plus more for greasing; 3 Tbsp. extra-virgin olive oil, divided; 12 oz. fresh pork sausage, casing removed and sausage crumbled; 2 lb. cornbread, cubed (about 10 cups, or one 8-by-8-inch pan); 12 oz. cremini mushrooms, sliced; Kosher salt and freshly ground pepper; ½ cup dried cherries or cranberries; ⅓ cup chopped flat-leaf parsley; 2 Tbsp. fresh sage, chopped; 3 ribs celery, finely chopped (1 cup); 2 carrots, finely chopped (1 cup); 2 cups parsnips, cored and finely chopped (1 cup); 2 cloves garlic, finely chopped; 1 large onion, chopped; 1 cup chicken stock; ½ cup heavy cream; 2 large eggs