After Overton Pettus Smithson's parents died, he was in the household of his uncle, William Overton Smithson in the 1860 census.
Sources
"United States Census, 1850," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:MC67-9V3 : 23 December 2020), O P Smithson in household of John P Smithson, Williamson, Tennessee, United States; citing family , NARA microfilm publication (Washington, D.C.: National Archives and Records Administration, n.d.).
"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M8TB-L55 : 18 February 2021), Overton P Smithson in entry for William O Smithson, 1860.
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DNA Connections
It may be possible to confirm family relationships with Overton by comparing test results with other carriers of his ancestors' Y-chromosome or 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 Overton:
It appears the death of John Pettus Smithson, died 14 May 1898 and buried in Hylton Cemetery, in Hylton, Nolan County, Texas, has been attributed to Overton Pettus Smithson, who was his first cousin. John was the oldest son of William Overton Smithson and Lucy Wilkerson (Giles) Smithson, while John Pettus Smithson was the son of John Pettus Smithson and wife Clarissa. Both John P. & Clarissa Smithson died in the 1850's and Overton Pettus Smithson apparently was raised by his aunt and uncle afterwards, or at least he was in their household in the 1860 census.
Smithson-750 and Smithson-669 appear to represent the same person because: same person, note different households in 1850 census (parents) and 1860 census (aunt & uncle) after his parent died in 1850's. See the 1860 census listing of assets owned (i.e. inherited) by O.P. Smithson at age 15.