The studio model of the Princeton was created for its appearance in "The Best of Both Worlds, Part II." The name and registry came from the studio model. An image of said model appeared in the special features of the TNG Season 4 DVD.
The Princeton and its class name were included in an internal production list of starships, dated 26 September 1990.  The corresponding information later appeared in the Star Trek Encyclopedia (4th ed., vol. 2, p. 332), where, additionally, the ship's registry was given as NCC-58904.
StarTrek.com identified the model that was labeled as USS Princeton as the Rigel-class USS Tolstoy, mentioned in dialogue,  and identified the reused Constitution-class saucer model wreck as the Niagara-class USS Princeton.