Birth month and year calculated from age (5/12) in the 1920 census enumerated 6 January 1920.
Sources
"United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MX1W-FB4 : accessed 20 September 2019), Frederick T Pineo, Medford Ward 4, Middlesex, Massachusetts, United States; citing ED 319, sheet 4B, line 60, family 80, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll 714; FHL microfilm 1,820,714.
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