Place the chicken pieces and pig's foot in a large stew pot and pour water in to cover. Add salt. Bring to a boil and skim scum. Cover partially and simmer for 1 hour.
Remove as much fat as possible from surface of water. Add pork, cassareep, onion, brown sugar, chiles, cinnamon, cloves, and thyme. Bring to a boil and simmer, partially covered, for another hour. Remove the cloves and cinnamon and discard. Stir in the vinegar.