Tilmon was born about 1828. He passed away about 1857.
J.T. Smith bought a churn for $25 from the Estate of his wife Elizabeth "Betsy" Efird Curlee Smith's former father-in-law Marriner Curlee in 1879. Betsy's son, and Marriner Curlee's grandson by his son William R Curlee, John William Curlee was the Executor of his grandfather's Will. https://www.familysearch.org/ark:/61903/1:1:VH6F-HL6
"North Carolina Deaths, 1906-1930," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:F36G-DS6 : 18 July 2017), Tilmon Smith in entry for Margaret Elizebeth Little, 25 Dec 1921; citing Big Lick, Stanly, North Carolina, reference IT 6 453, State Department of Archives and History, Raleigh; FHL microfilm 1,892,801.
Find A Grave, database and images (https://www.findagrave.com : accessed 10 July 2019), memorial page for John T. Smith (unknown–14 Dec 1857), Find A Grave Memorial no. 134535897, citing Smith - Ledbetter, Oakboro, Stanly County, North Carolina, USA
It may be possible to confirm family relationships with John 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 DNA with John: