Doris Day '69 Ragtop
Its also quite possible that Chrysler Corp. retained ownership during the time the car was used for the show. It may have merely been loaned to the studio for promotional consideration (vehicles provided by Chrysler Corporation appears in the closing credits of many television shows of that era). When it was replaced with a 70 Barracuda the following season, the 69 would have been sold off to it's first actual owner who may have never known the history of the car.
It would also have been more likely that the car would have been leased by the studio rather than the studio itself owning and then selling the car within a year.