I saw you post and I thought I could help. So I first went to ancestry.com and then to find a grave. Ancestry could not help me as I did not know who he married so I went to Find a grave.org and found this.
I went to find a grave to look up his father to see what information I could find and I found this; William Anse Barnes was born 1856 and died 1934; son of Henry Harvey Barnes 1827-1864 & Catherine Elizabeth Caldwell 1826-1910.
He was married 3 times.
1. Laura Seay B. 1860 married March 12, 1876 in Haywood, N.C. They had 4 children.
2. Wife - Sarah Sallie Whaley 1870 1944- They had no children together Oct. 1895 in Tennessee.
3. Wife- Carolyn "Tiny" Parton 1883-1947
They married Dec. 1909 in Knoxville, Tn and they had 6 children.
William Barnes in buried in Evans Chapel Cemetery Sevier Co. Tenn Find a grave memorial # 122500919-
My guess who William A. Barnes Jr. mother is Sarah Sallie Whaley. Because I believe they divorced in Oct 1895 and William A Barnes Jr was born in May 1895. But if this is not the case, then he was born to a woman whom William met and did not marry. I will try to keep looking but let me know if you need me for any other searching. Nancy