Jennie doesn't appear to have had surviving children.
Jennie's death record has her surname as Casteel and claims that she was never married, despite two marriage records existing.
Sources
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M948-PQR : accessed 27 May 2016), Jennie M Casteel in household of Noe T Casteel, Magisterial District 5 Vine Grove town, Hardin, Kentucky, United States; citing sheet 8A, family 165, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,240,525.
"United States Census, 1910," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M2DR-Z6P : accessed 27 May 2016), Jennie M Casteel in household of Hannah A Casteel, Louisville Ward 8, Jefferson, Kentucky, United States; citing enumeration district (ED) ED 167, sheet 6A, NARA microfilm publication T624 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,374,499.
"Indiana Marriages, 1811-2007," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XXG1-439 : accessed 27 May 2016), Jack E Kirby and Jennie M Casteel, 02 Oct 1912; citing Clark, Indiana, United States, various county clerk offices, Indiana; FHL microfilm 1,415,919.
"Ohio, County Marriages, 1789-2013," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:X8TR-PPD : accessed 27 May 2016), Adam Hugo and Jennie Casteel, 14 Aug 1919; citing Hamilton, Ohio, United States, reference HmltnOH1919V300Cn239; county courthouses, Ohio; FHL microfilm 384,164.
"United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MD1L-MYN : accessed 27 May 2016), Jennie Hugo in household of Adam Hugo, Cincinnati Ward 15, Hamilton, Ohio, United States; citing sheet 4A, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,821,392.
Find a Grave, database and images (https://www.findagrave.com : accessed 03 August 2020), memorial page for Mary Jennie Casteel (18 Feb 1893–14 Dec 1959), Find a Grave Memorial no. 205593621, citing Evergreen Cemetery, Louisville, Jefferson County, Kentucky, USA ; Maintained by PATTON'S DAWG (contributor 48076520) .
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DNA Connections
It may be possible to confirm family relationships with Jennie 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 Jennie: