In a medium bowl, stir together apple butter, molasses, ground ginger, salt and pepper.
Add the drumsticks and toss to coat. Cover and refrigerate for 15 minutes.
Preheat broiler.
Line a broiler pan with aluminum foil and then set the drumsticks in it. Broil 13 to 15 minutes, turning the drumsticks occasionally and brushing them with the marinade.
Serve with apple slices.
Notes
Note:The apples need to be cored and sliced into wedges of 8.