Apple Pie Sandwiches

Ingredients

• 2 cups diced peeled tart apples
• 1 cup water
• 1/2 cup plus 1 tablespoon sugar -- divided
• 5 teaspoons cornstarch
• 1/2 teaspoon ground cinnamon
• 1/4 teaspoon ground nutmeg
• 2 teaspoons lemon juice
• 12 slices day-old bread
• 3 eggs
• 2/3 cup milk
• 2 teaspoons vanilla extract