"Massachusetts Births, 1841-1915," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:FX8L-7S5 : 1 March 2016), Rachael Smith, 13 Mar 1879, Holyoke, Hampden, Massachusetts; citing reference ID #353, Massachusetts Archives, Boston; FHL microfilm 1,428,172.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MH62-9SQ : 11 August 2016), Rachael Smith in household of Thomas D Smith, Holyoke, Hampden, Massachusetts, United States; citing enumeration district ED 299, sheet 152C, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0535; FHL microfilm 1,254,535.
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DNA Connections
It may be possible to confirm family relationships with Rachael by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Rachael: