The indexing for the Family Search record for Mildred's birth appears to incorrectly list Blanche's birth place as North Carolina. It should be New Hampshire.
Blanche's mother Eliza A Tuttle is living with Blanche and her husband George at the time of the 1910 Census.
Sources
"Massachusetts Births, 1841-1915," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:FX4P-452 : 10 March 2018), Blanche E. Tuttle in entry for Mildred Leona Batchelder, 07 Sep 1901, Lynn, Massachusetts; citing reference ID #p530, n1158, Massachusetts Archives, Boston; FHL microfilm 2,057,297.
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M2JZ-P7Z : accessed 20 September 2019), Blache E Batchelder in household of George P Batchelder, Lynn Ward 2, Essex, Massachusetts, United States; citing enumeration district (ED) ED 367, sheet 28A, family 644, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 584; FHL microfilm 1,374,597.
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