This Inman family has not been found so far in the 1930 or 1940 census records. They should be living in the Paris Logan Co Arkansas area at this time.
Sources
First hand family knowledge Cindy Brownfield from my father James son of Jessie and various aunts, uncles and cousins.
["United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M36K-T9G : 25 January 2015), Jessie Inman in household of J W Inman, Clark Township, Logan, Arkansas, United States; citing sheet 9B, family 139, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,240,066.]
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MKVZ-X3T : accessed 1 July 2023), Jessie W Inman in household of William J Inman, Clark, Logan, Arkansas, United States; citing enumeration district (ED) ED 47, sheet 6B, family 104, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 56; FHL microfilm 1,374,069.
["United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MDXP-7S9 : 14 December 2015), J W Inman, Mountain, Logan, Arkansas, United States; citing sheet 5B, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,820,071.]
["Texas Deaths, 1890-1976," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:K3X6-BH9 : 5 December 2014), Jess Walker Inman, 30 Nov 1962; citing certificate number 71089, State Registrar Office, Austin; FHL microfilm .]
["United States World War I Draft Registration Cards, 1917-1918," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:K359-1BR : 12 December 2014), Jess Walker Inmon, 1917-1918; citing Logan County, Arkansas, United States, NARA microfilm publication M1509 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,530,474.]
"United States, Social Security Numerical Identification Files (NUMIDENT), 1936-2007", database, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:6K7W-XCRL : 10 February 2023), Jess W Inman in entry for Helen Thelma White, .
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DNA Connections
It may be possible to confirm family relationships with Jessie by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Jessie: