The 1900 census says born in Massachusetts; the 1910 says New Hampshire.
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MSXP-RPT : accessed 6 January 2021), Edward Perham in household of Bernan Perham, Belmont Township (east & south part), Franklin, New York, United States; citing enumeration district (ED) 60, sheet 17A, family 256, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,241,035.
"United States Census, 1910," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:M5S2-2F6 : accessed 6 January 2021), Edgar Perham, Piercefield, St. Lawrence, New York, United States; citing enumeration district (ED) ED 165, sheet 6A, family 107, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 1075; FHL microfilm 1,375,088.
Son's death record names parents:
"Washington Death Certificates, 1907-1960," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:N3BD-LLH : 10 March 2018), Edwin Perham, 09 Oct 1953; citing Seattle, King, Washington, reference 17862, Bureau of Vital Statistics, Olympia; FHL microfilm 2,033,295.
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