Mini Vegetable Casserole Topped with a Fried Duck Egg and Apple Butter

Name: Mini Vegetable Casserole Topped with a Fried Duck Egg and Apple Butter
Ingredients: 2 bunches collard greens; 2 bunches Swiss chard; 1 tablespoon olive oil, plus more for frying eggs; 6 cloves garlic, minced; 1/2 gallon vegetable stock; 1 tablespoon sea salt; 1 teaspoon cracked black pepper; 2 tablespoons hot sauce (recommended: Tabasco); 2 tablespoons granulated sugar; 1 teaspoon apple cider vinegar; 2 cups chopped preserved sun-dried tomatoes; 6 duck eggs; 6 teaspoons apple butter