Salsa Verde Breakfast Burritos

Name: Salsa Verde Breakfast Burritos
Ingredients: 2 large russet potatoes, washed and cut into 1/2 inch dice; 1 large yellow onion, peeled and cut into 1/2 inch dice; 2 tablespoons olive oil, divided; Salt and pepper; 1 lb fresh tomatillos, husked and washed; 1 white onion, peeled and quartered; 1 small jalapeño, stem removed, seeds left in for a spicy salsa or removed for mild; 3 cloves garlic, peeled; 1 small bunch cilantro, washed; 10 large eggs; 1 tablespoon unsalted butter, cut into cubes; 1 tablespoon half and half; 2 avocados; 8 oz shredded monterey jack cheese; 12 burrito-sized flour tortillas; Tin foil for wrapping