No Christine you would need the complete serial number. There are details regarding the registration process in the document linked in message #1.
The only other alternative to suggest would be to attempt to locate your proof of purchase. Considering the age of the software you may have better luck with previous e-mail addresses or phone numbers though. If you think of any additional e-mail addresses or phone numbers please don't hesitate to contact our support team. Our customer service team is available 24 hours a day via chat.