Preheat oven to 375°F (190°C).

Grease a 2-quart baking dish.

Arrange a layer of ham slices in the bottom of the dish, cutting to fit if needed.

Sprinkle the ham with dill weed.

Top the ham with a layer of sliced, cooked potatoes.

Arrange another layer of ham over the potatoes and sprinkle with dill weed.

In a separate bowl, combine milk, half-and-half, eggs, grated Parmesan cheese, pepper, nutmeg, and Worcestershire sauce.

Mix the ingredients until well combined.

Pour the milk and egg mixture over the ham and potatoes in the baking dish.

Bake in the preheated oven for 1 hour and 15 minutes, or until the custard is set and firm.

Let the bake cool for at least 30 minutes before slicing and serving.