I won't be at our boat until the weekend and will check to see if we have the furling manual. I made a note in the fall to inspect that area of the furling system this spring as it appeared that one or more allen screws may have dislodged from the lower assembly. The ongoing challenge we have experienced is that unless we maintain hefty tension on the out-haul furling line, the mainsail will develop folds/creases and jam in the mast. The boat is still covered, but I'll look for the manual. 

Here's the manual from the Technical Section
https://www.catalina36.org/members/technical/manuals/charleston-spar-furling-mast-manuals

As a reference, you should have ZERO problems furling and unfurling the sail.  My mainsail is old and baggy.  Most common problems (from experience) are failing to release the vang, main sheet and ensure the topping lift has the boom above horizontal to release pressure off the leech.  This goes for both in and out.

Furl with the wind on the nose and slightly to starboard for the easiest furl.  You should be able to pull it in or out BY HAND in normal conditions.  I do use a winch when reefing in 20+ knots to allow me to keep the outhaul tensioned to prevent flapping of the leech.

Make sure to keep tension on the outhaul when you put it away for the day or the furl will loosen and probably make pulling it out difficult.

Here's a good link to the Sparcraft site.
http://www.sparcraft-us.com/us/products/masts/furling_masts/default.asp

Kerry... when you say "sticking", do you meant the sail itself is catching in the slot or the whole turning mechanism is jamming with the sail still in the slot? If the former, your problem is the tensioning of the whole system (from keeping tension on the sail when you furl, as mentioned in other posts, to the tension on the main halyard.

If the latter, then it may be the bearings but that's not the [problem most of us have had. Don't use a lubricant (such as WD 40) on the bearing as that will gum them up.