the 1880 census age is off by at least 2 years, I wonder if there was an older brother, who died before the younger was born.
Biography
1880 census, Sullivan, Sharp Co., ARK.
1900 census, Sullivan, Sharp Co., ARK., enum. as Jim H. at ancestry.com.
World War I Draft Registration Cards, 1917-1918
about James Travis Carpenter
Name: James Travis Carpenter
County: Sharp
State: Arkansas
Birth Date: 2 Oct 1872
Race: White
Roll: 1530581
DraftBoard: 0
Nearest Relative: Lou Carpenter
Sources
"United States Census, 1880," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MNW5-Z5Q : accessed 03 May 2014), James T Carpenter in household of Edmund Carpenter, Sullivan, Sharp, Arkansas, United States; citing sheet 145A, NARA microfilm publication T9.
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DNA Connections
It may be possible to confirm family relationships with James 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 James: