According to the IGI, Benjamin married Anna Jackson (1800 - 1890) and they had children:
Lemuel Jackson Harding b 1826
Benjamin Franklin Harding (1829 - 1887)
Phylena Harding (1830 - 1863)
Phoebe Harding (1832 - )
Joseph W. Harding (1836 - 1896)[1]This is an unsourced family group sheet, and should be checked.
Sources
↑ The Church of Jesus Christ of Latter-day Saints, "International Genealogical Index (IGI)," database, FamilySearch (https://familysearch.org/ark:/61903/2:1:MVLT-18L : accessed 2018-01-07), entry for Benjamin Franklin Harding.
Wilber J. Harding, The Hardings in America, (Keystone, Iowa, The Harding Printing Co., 1925) pgs. 165-169. NOTE: this source contains errors regarding this individual. For example, his middle initial was A. and his middle name was not Franklin. This is conflated information from another Benjamin Harding.
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DNA Connections
It may be possible to confirm family relationships with Benjamin by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: