It was the Hornet that was damaged at Coral sea and repaired at Pearl.It went on to retreve the first astronauts returning from the moon, and is now a floating museum at the Alameda Naval station in San Fransisco bay.
It's well worth a visit...
Yes, but actualy the original Hornet was sunk by a Japanese torpedo shortly after the battle of Midway. Another carrier was named Hornet later but I do not recall when it was first commissioned.