Some confusion regarding first name. Family record mentions Nancy. Marriage certificate references Kittie. Family story is she was crowned Miss Denton. Do not have any official documentation.
Sources
Denton Co. Marriage Record Index Vol 1-231
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M3GZ-3GT : accessed 23 December 2016), Katy Smith in household of George W Smith, Justice Precinct 2, Gillespie, Texas, United States; citing enumeration district (ED) 32, sheet 6B, family 107, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,241,638.
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M2ST-7SL : accessed 23 December 2016), Catharine Smith in household of George W Smith, Justice Precinct 1, Sutton, Texas, United States; citing enumeration district (ED) ED 260, sheet 1B, family 13, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 1590; FHL microfilm 1,375,603.
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DNA Connections
It may be possible to confirm family relationships with Katherine 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 Katherine: