Gardner was born in 1871. He is the son of Almond Peterson and Eliza Allen.
"New York State Census, 1875," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:VNV6-39Z : 4 Feb 2020), Gardner Peterson, son in household of Almon Peterson, Corinth, Saratoga, New York, United States; citing p. 9, line 4, State Library, Albany; FHL microfilm 559,005.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MZFK-GZL : 2 February 2020), Gardner A Peterson, son in household of Aldmond Peterson, Corinth, Saratoga, New York, United States; citing enumeration district ED 67, sheet 73C, NARA microfilm publication T9 (Washington, D.C.: National Archives and Records Administration, n.d.), FHL microfilm 1,254,928.
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