In the 1900 Census for California, Santa Clara, Gilroy ED#52 page 16 of 40 it shows J.P. Bordenave, 41, born Nov 1858 France, Mary 37, born Nov 1862 France, & Annie, 14, born Jan 1886 California.
Also found in 1910, California, Santa Clara, Gilroy, ED# 74, page 16 of 54, on Second St, Gilroy, Jean P. Bordenave, Mary A, Anna and Bernard Chicorp (son-in-law). On Monterey St, Gilroy, page 46 of 54, Joseph Bordenave, 39, and brother Nicholas, 37.
I have found our John Bordenave on 1900 and 1910 Gilroy, Santa Clara Co census with Nellie (Noeli), Tillie (Matilde), Evelyn, Alfred, and August.
Note:I have signed up for Ancestry.com which has the census online, and is really worth it, but keep in mind that sometimes the page numbers are different than if you find it on microfilm at the library.