Put the potatoes, onion, tomatoes, broth, barbecue sauce, Worcestershire, paprika and salt in a 6-quart slow cooker.
Stir, cover and cook on high until the potatoes are almost tender, about 2 1/2 hours.
Add the pulled pork and lima beans and stir to break up any dense clumps of meat.
Cover and cook on high for 1 1/2 hours until the beans and potatoes are tender.
Stir in the frozen corn and cook uncovered for 15 minutes.
Add the cider vinegar, taste for salt and let the stew stand for 10 minutes before serving.