I have the 2003 Corvette Convertible (anniversary). Now,when it rains hard I find wateron the drivers side. Can anyone tell me what to check?

Check this out, Bill Curlee is as good as it gets. Lots to read!

http://forums.corvetteforum.com/showthread.php?t=1246715

Not sure if this is the cause but there are cowl drains that tend to clog with leaves. They are on the driver side you can clearly see them from under the car behind driver side wheel. (they have been described as utters). I found mine clogged the hard way. Windshield wipers failed due to corrosion in wiper control module. I had to remove wiper drive and re-solder board under motor assy .