You guys are all wrong.

Ticketing date is a factor, but in my experience, time is not. I don't care what they have posted online, date does, but time doesn't matter. I fly with another Plat all the time, and I can vouch for this.

Presuming you both bought the same ticket (same fare class, etc.) on the same date, the tie-breaker for EUA is the last name, alphabetically.

While you did place your fiancee on the list before you, that list is only valid for airport-cleared upgrades. EUA runs separately, and checkin status doesn't matter for EUA purposes.

As for the printer "explanation," file that in the bulging file labeled, "Continental, Bullsh*t Answers Given By Agents of" (see also "Telephone, Making Sh*t Up to Get Customer off the").

So, is your last name before your fiancee's, alphabetically?