The rest of her life is described in her obituary:
Wife of Eldon Henry (Doug) Simmons and John S. French
LIVERMORE, CA . LAYTON - June Adams French, age 86, passed away peacefully in her sleep on September 9, 2005. Born in Layton, Utah June 5, 1919 to Dell H. and Sarah Kershaw Adams. She married Eldon (Doug) Simmons. They were later divorced. She married John S. French on September 8, 1955. She loved poetry, music, art and reading. Surviving are her daughter Kathryn (Vance) Bennett, Syracuse; son, Richard A. French, Livermore, CA; nine grandchildren, 12 great-grandchildren, and nine great-great-grandchildren. She is also survived by sisters, Josephine (Stan) VanFleet, Salt Lake City; Mary Brewer, Salt Lake City; numerous and nieces and nephews. She was preceded in death by her parents, three brothers and four sisters. Funeral services will be held Monday September 19, 2005 at 11 a.m. at Lindquist's Kaysville Mortuary, 400 North Main. [...]
Salt Lake Tribune, The (UT)
Date: September 17, 2005
↑ "United States Census, 1920," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:M8PF-SYQ : accessed 24 January 2021), Delbert H Adams, Davis, Utah, United States; citing , sheet , line , family , NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll ; FHL microfilm .
↑ "United States Census, 1930," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XH64-TX4 : accessed 24 January 2021), Delbert H Adams, Layton, Davis, Utah, United States; citing enumeration district (ED) ED 12, sheet 5B, line 73, family 99, NARA microfilm publication T626 (Washington D.C.: National Archives and Records Administration, 2002), roll 2415; FHL microfilm 2,342,149.
↑ Find a Grave, database and images (https://www.findagrave.com : accessed 23 January 2021), memorial page for June Kershaw Adams French (5 Jun 1919–9 Sep 2005), Find a Grave Memorial no. 73007734, citing Kaysville City Cemetery, Kaysville, Davis County, Utah, USA ; Maintained by kent shepard (contributor 46959088) .
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It may be possible to confirm family relationships with June 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 June: