Martha moved from North Carolina to Oregon with her parents between 1902 and 1906, based on her siblings' birthplaces on the 1910 census.
Sources
"Oregon Births and Christenings, 1868-1929," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FZ5X-2QD : accessed 21 November 2015), Charles Thomas Miller in entry for Martha Ann Miller Mahoney, 16 Aug 1894; citing Highlands, North Carolina, reference ; FHL microfilm 2,259,057.
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MSBM-JN7 : accessed 21 November 2015), Martha Miller in household of Charles Miller, Highlands Township Highlands village, Macon, North Carolina, United States; citing sheet 6A, family 85, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,241,204.
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MLB8-Y5M : accessed 21 November 2015), Martha Miller in household of Chas T Miller, Conner Creek, Baker, Oregon, United States; citing enumeration district (ED) ED 6, sheet 4B, NARA microfilm publication T624 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,375,291.
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DNA Connections
It may be possible to confirm family relationships with Martha 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 Martha: