Put the apples, garlic, thyme, parsley, pickling spice and brown sugar in a 5-to-6-quart slow cooker. Add the ham and surround it with the turnips. Pour in the wine and 2 cups water. Cover and cook on low, 7 hours.
Remove the ham from the slow cooker. Add the greens to the cooker and stir to combine with the liquid. Return the ham to the cooker, cover and cook on high 30 minutes.
Slice the ham and serve with the turnips, apples and greens.
If you don't have pickling spice, add a bay leaf, a few peppercorns and a pinch each of coriander and celery seeds, pepper flakes and thyme.