Note below dated 20 June 2004:
My great-grandfather was Henry L. Williams, son of Joseph Washington Williams. 
I have visited his gravesite many times at Peter's Creek Baptist Church Cemetary.
For your information, my father who lived a long life told me stories, of the Williams family migrating to North Carolina South Carolina, Tennessee, and Texas.(He often mentioned three brothers but I cannot recall their names.) He also attended the dedication of the Kings Mountain Revolutionary war monument honoring our ancestor Col. James Williams.
Since my father was born in 1892, he had a good memory of family stories handed down. I wish that I had recorded them as a young man. There is no doubt because of my father's clear recollections of his family history that Col. James Williams was a great-great-great uncle and that Joseph Washington Williams( my great-great grandfather) did migrate from Caswell County, NC.
I appreciate and thank you for posting on the web the research you have done on the history of Tyre L. Williams ancestors.
At the Greenville County, SC public library, I was never able to go beyond Joseph Williams.
For security reasons, I request you not post my name as a descendent. However you may post Tyre Lewis Williams, my father, who was the son of Tyre Lewis Williams and Mary P. (Robinson) Williams. He died in 1982 and is buried at Mauldin Baptist Church Cemetary, Mauldin, SC. He had lived in Mauldin with his mother until she passed in 1926.
Ms. Branch,
My father told me stories of his grandfather Henry L. Williams visiting my father's family home in Traveler's Rest, SC by buggy from the Dacusville area where Henry lived near Peter's Creek Baptist Church. However, I never heard him speak of his great-grandfather's (Joseph Washington Williams) wife nor mention her name. 
My father was one of a very large family of 11 or 12 girls and 2 boys. I believe my aunt's who have all passed would have possessed more knowledge of the family history than my father who worked very hard his whole life as a farmer and skilled laborer.(my father worked until he was in his early 80's). The oldest daughter, Mary Williams, who married a Coleman, either inherited or purchased the family farm in Traveler's Rest and her descendents still remain in that small town which is at the foothills of the Blue Ridge Mountains. I have never been in contact with them but I would imagine that they would possess some family items that might reveal the name of Joseph Williams' wife. I also heard from my father, that one of my Aunt's granddaughters lived in Union S.C. and possessed civil war records and items of our family.
I do have a photograph of my grandmother Mary P. Williams. My father loved his mother, dearly, often spoke of her with joy, telling me stories of the his early life in Greenville County, and before he died, he told me " He could see his mother was calling him home".
I must have photographs of the tombstone of Henry Williams somewhere and I will try to find them.
I hope you can understand that my father was 57 when I was born so during my youth I listened to family stories told by my father, but God and working and playing sports and of course later girls was more on my mind. I had only one sybling, an older brother who died as a baby, his name also was Tyre Lewis Williams. My father preferred to be called "T.L."
We were poor and did not have much contact with relatives other than my Aunt Grace and Aunt Jessie who lived in Greenville, SC. My uncle Charles (Charlie) had died as a relatively young man with appendicitis. My father was often very exhausted from his work at his age but he would always find time to tell me a story or discuss religion or politics and ask questions about what I was learning in school(Greenville public school system) and later at college (Brevard College and then Berea College). Though only with an 8th grade country school education, he was intelligent and tolerant and well read, especially his bible. Since it is Father's Day today, I want to say to you how gratefull, I am, that my father loved me so much that he gave me the freedom to find my own path in life and was always willing to help as best as he good.