Hello, I am also researching a "Laura Williams" in/near Buncombe County. The birthdate that you have for her seems consistant for the time frame of the "Laura Williams" I am focused on, but I don't have a middle initial.
Do you have "Williams" as Laura's maiden name? I have her maiden name as Summey (or Sumney). I have also been told that Laura married twice. The Williams marriage is known (that's the union I descended from). Her other marriage is not known on our side. However she had children through both unions. I do not know which marriage came first. It is possible that perhaps she married Williams first, and kept his name as a widow or other reasons and later married Ball. I don't know. Does that help???