Gideon and Mary had 11 children, incl. Seth A., born 1863. Have Seth A. funeral record that identifies them as parents. Some info from ancestry.com Corey Family Tree.
Sources
"Maine Marriages, 1771-1907," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:F4XW-YLW : 10 February 2018), Gideon Corey and Mary Ann Roberts, 05 Jul 1845; citing Civil, Bangor, Penobscot, Maine, reference ; FHL microfilm 10,584.
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M6VS-739 : 12 April 2016), G E Corey, Bangor, Penobscot, Maine, United States; citing family 1743, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
"Last Will of Stephen Corey" Canada, New Brunswick County Deed Registry Books, 1780-1930; Carleton, 1840-1841, Vol. 4 (D, page 410, image 411 [1] and page 411, image 412 [2] and page 412, image 413 [3] and page 413, image 414 [4] and page 413, image 414 [5]
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DNA Connections
It may be possible to confirm family relationships with Elisha 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:
~1.56%David Williams :
Family Tree DNA Family Finder, GEDmatch DK7782303[compare], yourDNAportal DAVf894d3f2, FTDNA kit #B855763
+
Autosomal DNA Test, GEDmatch DK7782303[compare], yourDNAportal DAVf894d3f2