The reason he's not on the SSDI could be because he wasn't receiving benefits.Therefore, his family didn't report his death to the SSA.The below should answer your search for Carl W. Williams too.
Iowa State Census Census Date: 1 Jan 1925 Residence County: Sac Locality: Clinton
Nathanel/Nathaniel O. Williams 57 (In 1920 he's 50) Birth Place: Wisconsin Relation to Head: Head Mother: Margaret McMillan Mother's Birth Year: abt 1845 Mother's Birthplace: Pennsylvania Father: Lewis Williams Father's Birth Year: abt 1865 Father's Birthplace: Illinois Marriage Place: Wisconsin Ada M. Williams 30 Birth Place: Wisconsin Relation to Head: Wife Mother: Julia Johnes (Jones) Mother's Birth Year: abt 1862 Mother's Birthplace: New York Father: Henry Chamberlain Father's Birth Year: abt 1861 Father's Birthplace: Wisconsin Marriage Place: Wisconsin Earl H. Williams 13 Birth Place: Illinois Relation to Head: Son Vance R. Williams 9 Birth Place: Illinois Relation to Head: Son Carl W. Williams 7 Birth Place: Iowa Relation to Head: Son Wayne O. Williams 4 Birth Place: Iowa Relation to Head: Son Myrtle M. Williams 3 Birth Place: Iowa Relation to Head: Daughter Cecil Williams 1 Birth Place: Iowa Relation to Head: Son Julia Chamberlain 63 Birth Place: New York Relation to Head: Mother-in-law Mother: Margeret Snell Mother's Birth Year: abt 1845 Mother's Birthplace: New York Father: Phylester Jones Father's Birth Year: abt 1849 Father's Birthplace: New York Marriage Place: New York
In 1900, Henry & Julia Chamberlain are residing in Dane Co., WI.Julia has had 3 children, 2 are living.They are...........
Son, Merle Chamberlain, born Dec 1886 in WI. Daughter, Addie M. Chamberlain, born Aug 1895 in WI.
This is strange...............
1910: Bloomfield, Walworth Co., Wisconsin
Nathan Williams (head) 40 WI>NY>NY 2nd Marriage/2 Years Julia Williams (wife) 42 NY>NY>NY 3 Children, 2 Living 2nd Marriage John Williams (son) 14 IA>WI>NY Margrate Williams (daughter) 12 IA>WI>NY Louis Williams (son) 10 IA>WI>NY Addie Chamberlian (stepdaughter) 15 WI>WI>NY *John H. Chamberlian (stepson) 13 WI>WI>NY *Where'd he come from?!