It is possible and more likely that Harriet Cash Haines/Haynes listed here as a daughter of Anna Marie Cash Moore, was actually a half-sister of Anna Marie Cash Moore. Daughter of Anna's father, John Cash and his second wife Martha Darnall Cash.
https://www.familysearch.org/tree/person/details/KL1K-11N
Harriet Ann Cash (1841-1875) who married William Haynes/Haines in Hendricks County, Indiana. It says she was the daughter of John Cash and his second wife, Martha Darnall Cash. This Harriet A. Cash Haynes would have been a half-sister to Anna Marie Cash Moore. Possibly this is the Harriet A. Haynes/Haines that is incorrectly listed here as a daughter of Anna Marie Cash and William Thomas Moore? Still searching for more proof, but this connection makes more sense than Anna and William having a child in their 60's.
