Marriage records exist for two dates, one on 21 Jan 1909 and several others on 12 June 1924. both seam accurate. They are listed as married in the 1910 and 1920 US Census
Sources
US Census Year: 1900; Census Place: Kane, Pottawattamie, Iowa; Roll: 455; Page: 4A; Enumeration District: 0138; FHL microfilm: 1240455
US Census Year: 1910; Census Place: Council Bluffs Ward 1, Pottawattamie, Iowa; Roll: T624_421; Page: 2A; Enumeration District: 0131; FHL microfilm: 1374434
US Census Year: 1920; Census Place: Council Bluffs Ward 2, Pottawattamie, Iowa; Roll: T625_510; Page: 3B; Enumeration District: 143; Image: 396
US Census Year: 1930; Census Place: Council Bluffs, Pottawattamie, Iowa; Roll: 679; Page: 7A; Enumeration District: 0019; Image: 200.0; FHL microfilm: 2340414
US Census Year: 1940; Census Place: Council Bluffs, Pottawattamie, Iowa; Roll: T627_1198; Page: 4A; Enumeration District: 78-26B
Iowa, County Marriages, 1838 - 1934 at Family search
Iowa, Marriage Records, 1880-1937 at Ancestry.com
Find a Grave, database and images (https://www.findagrave.com/memorial/191798694/earl-francis-cochran: accessed 9 February 2023), memorial page for Earl Francis Cochran (1 Feb 1886–10 Jul 1956), Find a Grave Memorial ID 191798694, citing Walnut Hill Cemetery, Council Bluffs, Pottawattamie County, Iowa, USA; Maintained by SRGF (contributor 47487065).
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DNA Connections
It may be possible to confirm family relationships with Arthur 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 Arthur: