Preheat oven to 375 degrees.
Bake garlic with oil drizzled over for 45 minutes. Cool briefly. Transfer garlic to work surface. Reserve oil in dish. Peel garlic and chop coarsely. Increase oven to 400 degrees.
Brush baking dish with reserved garlic oil. Layer potatoes in dish. Sprinkle each layer with chopped garlic, thyme, nutmeg.
Combine broth and cream. Pour over potatoes. Bake till tender.