Kenyon too...
I have a Kenyon too. The picture I attached earlier isn't exactly like mine either but I figured it would be helpful. Your pad eye should be plenty strong enough to tie off your reef line. It should run inside the boom on starboard. Your outhaul should be center and your topping lift, if it is still around, should be on port. If your lines have been pulled through, stand the boom on end and drop a light weighted line through, followed with your actual reefing or topping lift lines. I dropped fishing line through with a small sinker on the end. Went straight through without a hitch, then I whipped the fishing line around the end of the real line, taped it and pulled her through. The reefing line is maybe 3/8? I'd have to go out to the boat and take a look to be sure. The topping lift is lighter - 1/4 or 5/16 maybe. The topping lift runs to the mast head to keep the boom out of your lap when you haul down the main. You can replace that with a boom kicker/rigged vang and be better off anyhow. I've seen H23's with Kenyon booms/masts that didn't have a pad eye or bail to rig the reef line like the picture. Like I said, mine didn't have one either. The pad eye or bail lets you change the way the foot of the sail is stretched and it does a better job that way. Without it the aft cringle won't pull down flat against the boom and it tends to haul the aft end of the boom up out of square. I suppose none of that is such a big deal unless you are really concerned with your sail shape when reefed but I like it better the way it works after I added the bail.