She was born on 06 Nov 1786 in South Carolina, USA. Her birth date is essentially unsourced in the myriad family trees in which they appear; however, given its pre-Internet presence, it's possible that it was inscribed on her headstone (now lost).
The source for Jane as a "Moore" or her frequent link to the "Waxhaw District" is unknown. She did give a daughter the middle name of "Moore". [Please see Research Note of 4/2/2021]
Marriage and Children
Jane Moore married about 1803 in Tennessee, USA to Thomas McCray (1781-1867). The couple had many children, including the following:
Elizabeth (McCray) Love
Charles Thomas McCray
Sarah (McCray) Forsythe
Mary Moore (McCray) Buck
Ora (McCray) Stuart
Beersheba (McCray) Watson
Jane (McCray) Gilbreath Cannon
1830: Regiment 67, Monroe, Tennessee. Census Record for Thomas McCray. 
1840: Monroe, Tennessee. Census Record for Thos. McCray. 
1850: District 47, Lawrence, Missouri, USA. Jane McCray (aged 60)(Born TN) living in the home of Thomas McCray (60)(Farmer)(Born TN). Also living in the home were: Daughter Elizabeth (Jane McCray) Gilbreath (25)(born TN), and her children Isabella Gilbreath (3)(born TN), and Charles Gilbreath (1)(Born MO).
1860: Turnback, Lawrence, Missouri. Post Office Chesapeake. Jane McCray (74)(Born SC) living in the home of Thomas McCray (79)(Born TN). Also living in the home were: Isabell (13)(Born TN) and Charles Galbraith (10)(Born MO). 
1870: Turnback, Lawrence, Missouri. Post Office Mount Vernon. Jane McCray (83)(Born SC) as head of household. Living in the home with her are daughter Jane Cannon (43), Margret Cannon (14), Sarah E. Cannon (12), Richard Cannon (11), and Frances Cannon (8). 
She passed away on 20 Jan 1874 in Lawrence County, Missouri, USA. 
Although there are not currently found any sources for Jane's maiden name of Moore other than the compiled marriage record, this historian has been able to confirm an mtDNA genetic connection (with a genetic distance of 1) between myself (5th Great Granddaughter of Elizabeth Moore) and a female direct descendant of Jane (Moore) McCray, giving credence to them being sisters. It is my understanding that it has been established previously that Jane and Mary (there is an actual marriage record with photographs of the documents for Mary MORE and Henrey McCray) were sisters through genetic research, according to the descendant of Jane Moore McCray. It has also been reported that there was also a brother (possibly James) who was reportedly married in Washington County, Tennessee in 1806. There has been no source confirmation to date, but an mtDNA genetic connection (genetic distance 1) was made yesterday (4/1/2021) between myself and a female descendant of Dora Mae Moore Fletcher (born about 1890), indicating to me that a brother of Elizabeth, Mary and Jane could be likely. Research will continue. 
↑ Jane Moore, in the U.S. and International Marriage Records, 1560-1900, available here
↑ Year: 1830; Census Place: Regiment 67, Monroe, Tennessee; Series: M19; Roll: 175; Page: 112; Family History Library Film: 0024533 Ancestry Record 8058 #693227
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It may be possible to confirm family relationships with Jane 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 some percentage of DNA with Jane: