Not sure why she is in the 1850 census, unless it was taken after Feb 1851?
Note 4 Aug 1995 - Imported Dan E. Jacobsen ancesters from LDS ancestral file.
Reference: 925
LDS Baptism: Date: 1860
LDS Endowment: Date: 12 Feb 1872 LDS Temple: EHOUS - Endowment House
Sources
Ancestral File Number: 2892-39
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MCS6-R75 : 4 April 2020), Betsey Hancock in household of George Hancock, Davis county, Davis, Utah Territory, United States; citing family 198, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MSDH-KKX : accessed 24 May 2020), Betsy Y Shurtliff in household of Frances M Shurtliff, Baker City Baker City Ward 1, 2, Baker, Oregon, United States; citing enumeration district (ED) 163, sheet 26B, family 635, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,241,345.
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MLY6-ZLV : accessed 24 May 2020), Bessie J Shurtliff in household of Francis M Shurtliff, Baker Ward 3, Baker, Oregon, United States; citing enumeration district (ED) ED 3, sheet 18B, family 372, NARA microfilm publication T624 (Washington D.C.: National Archives and Records Administration, 1982), roll 1278; FHL microfilm 1,375,291.
"United States Census, 1930," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XH67-K1B : accessed 24 May 2020), Betsy J Shirtliff in household of Francis M Shirtliff, Logan, Cache, Utah, United States; citing enumeration district (ED) ED 13, sheet 10B, line 55, family 228, NARA microfilm publication T626 (Washington D.C.: National Archives and Records Administration, 2002), roll 2414; FHL microfilm 2,342,148.
"Utah Death Certificates, 1904-1964," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XZP9-ZCV : 11 September 2015), Betsy Jane Shurtliff, 05 Aug 1933; citing Logan, Cache, Utah, United States, certificate 134, series 81448; Utah State Archives Research Center, Salt Lake City, Utah; FHL microfilm.
Find a Grave, database and images (accessed 24 May 2020), memorial page for Betsey Jane Hancock Shurtleff (22 Feb 1851–5 Aug 1933), Find A Grave: Memorial #66454219, citing Logan City Cemetery, Logan, Cache County, Utah, USA ; Maintained by Renae Burgess Linn (contributor 47012298) .