The USS San Jose was a Federation California-class starship operated by Starfleet in the late 24th century.
In 2381, the San Jose was rallied by Beckett Mariner to create an armada of California-class starships sent to defend their sister ship, the USS Cerritos, from the USS Aledo. After successfully destroying the Aledo, the armada went to Douglas Station. (LD: "The Stars At Night")
The San Jose was presumably named for San Jose, California.