"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M85N-W27 : 12 April 2016), Amanda C Houston in household of Samuel D Houston, Melrose, Adams, Illinois, United States; citing family 32, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
"United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MCJB-6FB : 12 April 2016), Catharine A Parson in household of Luke F Parson, Kansas, United States; citing p. 24, family 233, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 545,941.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MF5K-RGR : 12 August 2017), K A Parsons in household of L F Parsons, Greeley, Saline, Kansas, United States; citing enumeration district ED 298, sheet 183A, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 0396; FHL microfilm 1,254,396.
L F Parsons Self M 46 Massachusetts, United States
K A Parsons Wife F 36 Iowa, United States
Addie Parsons Daughter F 12 Kansas, United States
Houston Parsons Son M 10 Kansas, United States
Stella Parsons Daughter F 7 Kansas, United States
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MMYK-XQ5 : accessed 17 February 2018), Kate A Parsons in household of Luke F Parsons, Greeley & Walnut Townships, Saline, Kansas, United States; citing enumeration district (ED) 117, sheet 3B, family 52, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,240,498.
Luke F Parsons Head Male 67 Massachusetts
Kate A Parsons Wife Female 57 Iowa
Annie E Huston Sister-in-law Female 55 Iowa
Samuel D Huston Father-in-law Male 82 Ohio
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M2Z8-GR9 : accessed 17 February 2018), Catherine Parsons in household of Luke F Parsons, Salina Ward 3, Saline, Kansas, United States; citing enumeration district (ED) ED 136, sheet 4A, family 85, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 455; FHL microfilm 1,374,468.
Luke F Parsons Head M 75 Massachusetts
Catherine Parsons Wife F 66 Iowa
Anna E Houston Sister-in-law F 63 Illinois
"United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MF6Y-Q3M : accessed 17 February 2018), Kate A Parsons in household of Luke F Parsons, Salina Ward 3, Saline, Kansas, United States; citing ED 147, sheet 7A, line 39, family 156, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll 548; FHL microfilm 1,820,548.
Luke F Parsons Head M 87 Massachusetts
Kate A Parsons Wife F 77 Iowa
Anna E Houston Sister-in-law F 73 Iowa
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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: