Place whole tomatillos and pepper in a small pot and cover with water and bring to a boil. Cook until the tomatillos have transformed from their bright green raw state to a dull green, about 10 minutes. Drain water off and transfer to a blender. Add 1/4 onion and the other garlic clove and salt. Process until completely smooth, adding a bit of chicken stock or water to reach your desired consistency (for this recipe, you want it somewhat thick so that it holds the shape of wells pressed into it for baking eggs).
Pour the salsa into an oven-safe baking dish. Using the back of a large spoon, press 6 wells into the salsa. Sprinkle with cheese, if using and bake at 400ºF until cooked to your liking, about 5-10 minutes for runny yolks. Alternatively, you can prepare this in a pan on the stovetop, covering the pan and cooking to desired doneness, about 5-10 minutes.
Notes
If you like the egg yolks cooked through, pop the yolks before you cook them.Nutrition without the cheese: Calories: 221 cal, Carbs: 7g, Fiber: 2g, Fat: 13g, Protein: 18g