I am having a hard time finding them on any census records. The year of death is different but looks like your Joseph:
California Death Index, 1940-1997 Name: Joseph H Willson Social Security #: 559364482 Sex: MALE Birth Date: 1 Jun 1898 Birthplace: Washington Death Date: 5 Oct 1965 Death Place: Santa Clara County Mother's Maiden Name: Cox
Washington Births, 1891-1907 Date of Birth: 1 Jun 1898 Gender: Male County: King City: Seattle Father's Name: F C Wilson Mother's Name: Elva Cox
1900 WA, King Co, Seattle indexed as Willen Willson, Frank C.bnFeb1856 WI , Elvabn Dec 1865WI , CharlesbnJul 1887Dakota TERR , WalterbnFeb 1890WA , MilliebnFeb 1891WA , Josephbn May 1898WA **Frank C. owned a barber shop.