A descendant on Lizzie's matrilineal line (child of granddaughter Bobbie via daughter Pearl) has tested mtDNA Full Maternal Sequence and autosomally. The mtDNA haplogroup is H2a1a1.
Many close ("Extremely High") autosomal DNA matches through Lizzie and Charles' children Bill, Mattie, Pearl, and Clyde can be found at Ancestry.com. As of this writing (1 October 2018), only those from the Pearl branch and one from the Clyde branch have their DNA on sites where segment comparison is possible.
So far, descendants of Pearl have had no known matches to cousins through Lizzie's father Lewis Marion White. This may be a matter of bad luck with who has decided to test, or the matches may have tested but not shared their trees online.
However, the possibility of a "non-paternal event" should also be considered, meaning that Lewis may not have been the biological father of Lizzie, especially when considering 1. the high number of extended paternal cousins and descendants, 2. that descendants are known to have tested, 3. that matches have been found for Lizzie's smaller and more elusive maternal side, and finally, 4. the space between Lewis and Caroline's marriage date and Lizzie's birth date.
Lizzie's date of birth, including year, is consistently recorded as being October 1878 in her daughter's Bible (entered while Lizzie was alive), her marriage record, and the 1900 census. The 1880 census accurately enumerates her as being a year old - she would not turn two for four more months. Lewis and Caroline married in June 1878 according to the county record.
It's therefore highly likely that Lewis married Caroline when she was just over five months' pregnant, and given the lack of paternal DNA matches for Lizzie's descendants through daughter Pearl (so far), it's possible that Lewis and Caroline's marriage took place due to his kindness, her deception, or a truth that cannot be known over 150 years later. It is interesting to note that descendants of Lizzie's daughter Pearl have high and extremely high matches at Ancestry.com to descendants of the intersections of Dockery/Skelton/Porter families in the area where Caroline and Lewis lived; however, the Porter line connects to Caroline's aunt Taletha Perry, so more data is needed to untangle these connections.
Family Bible owned by daughter Pearl Stanley Simonds. Now in possession of Pearl's grandson C. Simonds. Dates and counties for births of Pearl's parents are given, as are cities, but the cities happen to be the county seats. Possibly these were given as a general indication of place since Lizzie White Stanley does not seem, from census records, to have been born in Fayetteville.
Marriage record of Charles F. Stanley and Sarah E. White. Personal copy owned by Sarah E. White. Now in possession of great-great-granddaughter Shari S. The copy is in pieces from being folded and lists the bride and groom as "Miss Sarah E. White" and "Mr Chas. F. Stanley", both of Seminole, Indian Territory, with "L. M. White" as the witness. "Recorded in the probate office" (handwritten, "Register of Deeds" being crossed out) of Cleveland County, Oklahoma. 11 July 1894.
Oklahoma County Marriages, 1891-1959. Charles F. Stanley and Sarah E. White. 11 July 1894. Cleveland County. This record includes parents' names and ages and birthplaces of groom (23, Missouri) and bride (15, Arkansas). Parents of groom are listed as William Stanley and Angeline Williams. Parents of bride are listed as J. (sic) M. White and Caroline Perry. License dated 10 July 1894. Digital image of original document: https://familysearch.org/ark:/61903/1:1:VXLX-3TG
Texas Deaths, 1890-1976. "Sarah Elizabeth Stanley". 12 February 1958. Tarrant County, Texas. Died at Azle Hospital. Parents are named as "Lewis White" and "(Unknown) Perry". Digital image of original death certificate: https://familysearch.org/ark:/61903/1:1:K3ZN-RR3
Nickname as "Lizzie" comes from her grandson, Charles Simonds, as relayed to his granddaughter Shari S. Descendants of her brother, James, who have contacted Shari have referred to her as "Aunt Lizzie".
It may be possible to confirm family relationships with Sarah 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 DNA with Sarah: