Joseph was apparently born in 1805 (age 45 in 1850 Census; and age 65 in 1870 Census). He was married to Susanna Miller.
Sources
The Church of Jesus Christ of Latter-day Saints, "Ancestral File," database, FamilySearch (https://familysearch.org/ark:/61903/2:1:MZMX-S2F : accessed 2017-05-04), entry for Joseph Lewis MORE.
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DNA Connections
It may be possible to confirm family relationships with Joseph 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 Joseph: