Combine the first 5 ingredients for marinade, mixing well. Add chicken legs and stir to coat. Refrigerate overnight or let stand at room temperature for 2 hours, spooning sauce over occasionally.
Place the drumsticks in a wire broil basket. Grill over slow coals about 25 minutes, basting with marinade now and then. Turn and grill other side about 20 minutes or until tender, basting with marinade. Serves 8.