I'm confused: do you have to have a reservation in order for them to look up your name? Otherwise, how would they have your name?
Also, does the 40% off code apply only to rooms or the entire package?
If you've stayed at a Disney resort relatively recently (I see your last time was in the '80s, that may be too long ago), they would have your name. Last year I called for a reservation, and my last visit was in 2003, and they had my name and a code (30% off) in the system.
I think they may also have your name in the system if you signed up for e-mails at the Disney website, ordered a vacation planning dvd, etc. But I don't know that for sure.
All of the codes I've heard about are room-only discounts, not package discounts.