It's been along time since I worked on my genealogy, I just saw your message about James Taylor Ainsworth and Elizabeth Smith. As I recall this information came from a family bible , It was in the S0-We-AR genealogical publication.
James Taylor Ainsworth b.3 March, 1831, d.31 Mar 1864, Monticello, Arkansas, m. Elizabeth Smith, 04 Dec 1851,Rankin County, Mississippi. She was born 28 Dec 1827, Mississippi, d.17 June, 1903, Columbia County, Arkansas, buried Bethlehem Cemetery, Spotsville, Columbia County, Arkansas. Their Children were. Mary Elizabeth b. 7 Dec., 1852, Arkansas/ m. Daniel Benson Price 27 Mar.,1873,Hot Springs, Arkansas; Arabella Wadkins,b.11 Oct 1854, Arkansas,d.6 Aug 1861; Ainsworth(female),b. 10 July, 1856, Arkansas,d.12 Jul, 1856; Isaac Cross b. 2 August, 1856, Arkansas buried Bethlehem Cemetery, Spotsville, Columbia County, Arkansas; Ainsworth (male) b. 20 Dec, 1858, d. 21 Dec ,1858; Matilda Ann, b. 27 Mar 1860,Arkansas d.18 Sep 1887; James T., b.16 Jun,1862, Arkansas, d. 25 Jan, 1939. m.Margaret Evaline Vinson
After James Taylor died Elizabeth married William Casper Cassidy, b. 16 Apr,1845, Alabama They had 2 children. John J. Cassidy, b. abt 1867, d.30 Jul 1887; Cuza O. b. abt 1871.
By the 1900 Census she was living with son Isaac C. Ainsworth. She had had 10 or 11 children with only 2 living.
I hope this fills in some of your holes or questions.