A little about the area is here.
As you enter, you can pick up a map and see a some items of interest on a covered bulletin board (click to make the pic larger):
Much of the trail is rooty and rocky, but my hiking partner did okay in her tennis shoes. There is a fair amount of uphill/downhill but nothing too strenuous. The trail is considered "moderate."
After a while, you'll get to the big scary warning sign about the Quarry:
Continue on down the trail and soon you'll hear frogs and crickets loudly singing. Water is close. The Quarry is close.
Right before the payoff of seeing the Quarry up close, you have to stone-step over a little creek. The stones looked mighty slippery to me and I was worried about slipping and falling and breaking my leg far down a trail, but I finally got over to the Quarry side (to the steps) safely and snapped a picture.
The Quarry was lovely. I was going to circumnavigate it because a trail does go around it according to the map, but I got my shot of the Quarry and headed back.

above, Eno Quarry 3.7.2009
Hiking out we saw some teenagers hiking in quite obviously going for a swim. I wondered about how cold the water must surely be since earlier this week the temps were 13 or so degrees a couple of nights.A few other shots from the hike: