Mary,
You are correct about the use of the drogue and the sea anchor. I had to look it up in Chapman. They are both cone shaped. The sea anchor has a small outlet opening to allow some water to flow. It is used to keep the bow into the wind and minimize drift. The drogue has a larger outlet opening and is trailed off the stern while under way to prevent broaching and yawing. The drogue is secured forward of the rudder post to maintain manueverability.
Howard