The studio model of the Princeton (picture at right) was created for its appearance in "The Best of Both Worlds, Part II."
The name and registry came from the studio model. The Princeton was classified as a Niagara-class starship in an internal list of starships, dated September 26, 1990.  This information about the ship later appeared in the Star Trek Encyclopedia (4th ed., vol. 2, p. 332), where the ship's registry was given as NCC-58904. The image shown at left appeared in the special features of the TNG Season 4 DVD.