I came across 1984 today at the Fabulous Fords Forever show at Knott's Berry Farm in Buena Park, CA (one of 4 Mark IIs I saw at the show, but the only one not on the Forum). The current owner is Lynn DeYoung of Long Beach, CA. He indicates he bought the car from a previous owner who had the car in Rancho Mirage, CA (Palm Springs area).
The car is remarkably original--carpets, upholstery, etc. all appear to be original/untouched. It shows just over 60,000 miles on the odometer--appears to be appropriate for the condition of the car. Very minimal cracking on the weatherstripping, relatively little de-lamination on the side glass, etc. If it spent much time in the desert, it was obviously garaged most of the time.