From what I can see, no. Here are my findings.
[Elliott-7253]:
1) Ancestry has (3) marriage records for Nancy and William Ray/Wray. They were married on 21 Jun 1810 in Oglethorpe County, Georgia.
2) No records to prove that the birth and death dates attached to her are hers. Based on the 1850 and 1870 census records, her birth is about 1795.
3) Other than family trees, there are no records to prove her parents were George Elliott and Mary Elizabeth Cloud.
[Elliott-22659]
1) This Nancy married William Hurley Morrow on 6 Sep 1810 in Morgan County, Georgia. There are (3) marriage records on Ancestry (no images just transcribed details) to confirm this.
2) There is a Fulton County, Georgia cemetery record (Jonesboro Town Cemetery) that gives her tombstone record. This record has the exact birth and death date attached to currently both Nancy's and states that she is the wife of William H. Morrow.
3) Other than Find a Grave and other family trees, I see no evidence to prove she is the daughter of George Elliott and Mary Elizabeth Cloud - (Find a Grave does have this Nancy attached to her mother).
Another note, both Nancy Elliott's had children with their respective husbands at the same time and therefore, cannot be the same Nancy's.