Baked Eggs with White Sauce

4 large eggs 1 cup grated swiss cheese, divided 4 tbsp butter 1 tbsp flour 1 cup milk 2 tbsp cream salt, pepper, and ground nutmeg 1 egg yolk Cook the eggs in boiling water, until hard boiled, about 6-8 minutes. Shell, then slice in half. Melt half of the butter in a pan over medium heat. Add the flour and let it cook for about 2 minutes. Add the milk and bring to a boil. Add the cream, then season with salt, pepper, and nutmeg. Let it gently simmer and reduce for about 7 minutes, until it thickens. Turn off the heat. Add half of the grated cheese and egg yolk. Mix well. Place the halved boiled eggs in small baking dishes, then pour the sauce over the eggs. Top with the rest of the grated cheese, then broil in a 425° using top heat until the cheese melts and the sauce becomes bubbly. Serve with toast and salad.