If the guy in the Army was him, possible family in Caddo Parish, LA
1930 Census:
William H Jackson
[Willian H Jackson] George F, Ida Shreveport, Caddo, Louisiana abt 1925 Arkansas Son
Willie Jackson Leroy, Ora Lee Police Jury Ward 1, Caddo, Louisiana abt 1925 Louisiana Son
Willie Jackson David, Lena Police Jury Ward 1, Caddo, Louisiana abt 1926 Louisiana Son
Willie Jackson Willie, Sue Police Jury Ward 1, Caddo, Louisiana abt 1927 Louisiana Son
Will Jackson Haller, Marian Shreveport, Caddo, Louisiana abt 1928 Louisiana Son