"Sweden, Household Examination Books, 1880-1930," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:QLPW-D91J : 10 December 2017), Sofia Kristina in entry for Jonas Gustaf Granström, 1900 - 1913; from "Sweden Household Examination Books, 1860-1920," database and images, MyHeritage (https://www.myheritage.com : n.d.); citing 1900 - 1913, 7570100, AIIa1g, various Lutheran parishes, Sweden.
"South Dakota, Department of Health, Index to Births 1843-1914 and Marriages 1950-2014," database, FamilySearch (https://familysearch.org/pal:/MM9.1.1/QKDD-9P82 : 2 September 2015), Sophia Granstrom in entry for Gustav Holmstrom, 24 Jan 1907; citing Birth, Mccook, South Dakota, United States, South Dakota Depart~ment of Health, Pierre; FHL microfilm .
"United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M6JH-7J7 : accessed 22 July 2017), Sophia Holmstrom in household of John Holmstrom, Sioux Falls Ward 4, Minnehaha, South Dakota, United States; citing ED 184, sheet 11B, line 84, family 237, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll 1724; FHL microfilm 1,821,724.
"United States Census, 1930," database with images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XQV6-CY5 : accessed 7 August 2017), Sophia Holmstrom in household of John Holmstrom, Sioux Falls, Minnehaha, South Dakota, United States; citing enumeration district (ED) ED 27, sheet 15A, line 24, family 383, NARA microfilm publication T626 (Washington D.C.: National Archives and Records Administration, 2002), roll 2228; FHL microfilm 2,341,962.
Looks like the local folklore society has an area they call Swensbylijda that could be that they preserve Svensby. More research needed - Sälgö-1 06:12, 24 April 2017 (EDT)
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It may be possible to confirm family relationships with Sophie by comparing test results with other carriers of her 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 Sophie: