Paternal relationship is confirmed by a triangulated group on MyHeritageDNA who share a 14.5 cM segment on chromosome 7, consisting of VH and Jerry Slone, her 4th cousin 1x removed, and AS, her 5th cousin. (Jerry and AS are 4th cousins 1x removed.) These matches have been independently verified via the MyHeritage Chromosome Browser. Their most-recent common ancestors are John Giesler and Maria, the 4x-great-grandparents of VH, 3x-great-grandparents of Jerry Slone, and 4x-great-grandparents of AS. DNA test taker VH is the granddaughter of Perry Gray, the son of James Martin Gray, the great-grandson of the common ancestors John Giesler & Maria.
Sources
"Missouri, County Marriage, Naturalization, and Court Records, 1800-1991", FamilySearch (https://www.familysearch.org/ark:/61903/1:1:6XFV-NF6X : Wed Oct 18 14:50:33 UTC 2023), Entry for P. E. Gray and Oma Daniels, 17 Apr 1909.
Find a Grave, database and images (https://www.findagrave.com/memorial/60903763/perry-edward-gray), memorial page for Perry Edward Gray (9 Aug 1885–18 Dec 1950), Find a Grave Memorial ID 60903763, citing Tennyson Cemetery, Maries County, Missouri, USA.
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DNA Connections
It may be possible to confirm family relationships with Perry 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 Perry: