White Lasagne with Parmigiano Besciamella (Lasagne in Bianco )

This is my go-to recipe when I am cooking for vegetarians or am taking food over to feed a family with kids.  It is delicious and filling and will last in the fridge for about a week and only taste better with time!  I found this recipe on Epicurious.  I have made it with and without the marsala wine, it tastes great both ways. The marsala adds a rich flavor that I love but some picky/kid eaters might disagree!  When I have omitted the marsala wine, I have added and extra 1/2 cup of cream or milk to the mixture.

Ingredients:
3/4 cup minced shallots (about 6)
8 tablespoons unsalted butter
1/2 cup all-purpose flour
1/2 teaspoon grated nutmeg
3 3/4 cups whole milk
1 cup rich chicken stock or reduced-sodium chicken broth
2 large eggs, lightly beaten
1/2 cup dry Marsala
1/2 teaspoon fine sea salt
1/4 pound grated Parmigiano-Reggiano (1 cup), divided
12 (7- by 3-inch) no-boil egg lasagne sheets

Instructions:
Preheat oven to 350°F with rack in middle.
Cook shallots in butter in a heavy medium saucepan over medium heat, stirring occasionally, until tender, about 4 minutes. Add flour and cook over low heat, stirring with a wooden spoon, 3 minutes.

Add nutmeg, then slowly whisk in milk and stock. Bring to a boil, whisking, then simmer, stirring occasionally, just until sauce lightly coats back of spoon, about 1 minute. Remove from heat and cool to warm, stirring occasionally. Stir in eggs, Marsala, sea salt, 1/2 teaspoon pepper, and 1/2 cup cheese.

Spread about 1 1/4 cups sauce over bottom of an 11- by 8-inch baking dish. Cover with a layer of 3 lasagne sheets. Repeat layering 3 more times, then top with remaining sauce and remaining 1/2 cup cheese. Bake, uncovered, until browned, 45 to 55 minutes.