Hi, My grandmother on my dad's side is Cora Mattie Ainsworth, her parents were Able Ainsworth and Laura Stewart. She married Jessie Levoid Butler, they had three children my dad and two sisters. She is currently living in Mississippi while her sibblings are mainly in Louisianna. I'm currently working on a family tree on ancestry.com if you are interested in looking at what I've found so far. From the research there I have found that Sampson Jefferson Ainsworth was born in South Carolina, this is information from the 1850 and 1860 census reports. Both list his birthplace as Spartanburg, South Carolina, but have differing years for his date of birth.
If you have any other information that goes further back then Thomas P. Ainsworth, please let me know. My dad actually says his name was Thomas H. Ainsworth and that a miswriten changed it to Hainsworth.