Use a 6-quart slow cooker. Add the rinsed beans and corn to the slow cooker and stir in the rest of the ingredients. (Do not worry about trying to keep the peach pieces intact; they will break down during cooking.)
Cover and cook on low for 8 hours, or on high for about 5 hours. Stir well. If you’d like to thicken the sauce, leave the lid off during the last 30 minutes of cooking.