I would go to the NCRS (National Corvette Restorers Society) an get yourself a Judging manual for your '62. I am not suggesting that you necessarily get involved with NCRS, but there is a ton of information that is available to you in that manual.
As BM mentioned, there was not a trim tag attached to the chassis that would give you information, such as, exterior color, interior trim color, etc. But, back in those days they did mark the bodies prior to them being painted. If I remember correctly, on the bulkhead just behind the passenger seat, they would put a letter indicating the color with a grease pencil. You actually have to carefully remove the paint on the bulkhead to reveal the grease pencil marking.
I hope that helps, and that my memory is accurate.
Good luck with your search.
Rich