Some bottom-feeder hacked my facebook account yesterday morning with the exact same scam! I got about 15 calls from friends asking if it were true; that’s the incredulous part...come on now! Anyway, what the scammer did was get into my account, then change my password and email contact address to a new email address that I don’t have and that I never had. I changed my real email password and notified facebook. Right now, my facebook account is frozen. Only one person mentioned the discrepancy in the email address.
Free e-mail accounts can be hacked too and used by scammers to peddle their scams.