1993 Chevy Cavalier Rs. Smoking but not over heating?

I have a 93 Cavalier RS, 4cyl. Automatic. I'm not sure what the engine size is, but it's got about 113,000 miles on it. My car is leaking anti-freeze, but you can't see anywhere that it's leaking. It's wet on the ground, but the anti-freeze doesn't run out quick. When it's running and it's been running for a while, it'll start smoking, but the thermostate isn't showing that the car's running hot. Does anyone know what might be wrong with it?

It's leaking from the front of the car, and it's white smoke. If you look behind the overflow down near the bottom of the raditor, you can see that it's a little wet, but not enough to make it smoke the way it does.