The original name of San José was Pueblo de San José de Guadalupe. It was named after Saint Joseph who was thought of by the settlers as the patron saint of the Spanish expedition through California that brought them here. The added reference of Guadalupe was to note the pueblo’s attachment to the Guadalupe River.
Source: Clyde Arbuckle’s history of San José, book by Clyde Arbuckle, 1986, page 10.