1. Preheat the oven to 225 degrees.
2. Place the dove breasts in the bottom of a Dutch oven and season liberally with salt and pepper. In a bowl, whisk together the lemonade, brown sugar, and vinegar until the sugar is dissolved. Pour the lemonade mix over dove breasts, then pour everything into the Dutch over and cover with a lid.
3. Place in the oven, and cook for 3 to 4 hours. Transfer the doves to plate, and debone if necessary.
4. Mix 1 Tbsp. cornstarch and 1 Tbsp. water. Add them to the pan sauce to thicken. Return the meat to the Dutch oven, and stir to coat. Serve over rice or noodles.