Thanksgiving Stock

Name: Thanksgiving Stock
Ingredients: 2 pounds chicken wings; 2 large turkey wings (about 3 pounds each) or 5 pounds chicken wings; 2 tablespoons extra-virgin olive oil, divided; 1 large onion, halved through root end; 2 medium carrots, scrubbed, very coarsely chopped; 2 celery stalks, very coarsely chopped; 1 head of garlic, halved crosswise; 8 ounces crimini mushrooms, halved; 1 smoked ham hock; 1 bunch parsley; 3 bay leaves; ¼ cup dry white wine; 1 teaspoon black peppercorns; Kosher salt; A 3-gallon stockpot