It may be possible to confirm family relationships by comparing test results with Kim or other carriers of her ancestors' mitochondrial DNA.
Mitochondrial DNA test-takers in the direct maternal line:
Family Tree DNA mtDNA Test HVR1 and HVR2, haplogroup H52, FTDNA kit #B706290
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Kim:
AncestryDNA, GEDmatch A448727[compare], yourDNAportal KIM7b51fe75, Ancestry member williams_kimj
Family Tree DNA Family Finder, GEDmatch A448727[compare], yourDNAportal KIM7b51fe75, FTDNA kit #B706290