I have info for William Walls.
According to the death cetificate for Nellie Walls(my grandmother) her father was W.A. Walls and her mother was Inez Smith. With this info I have tied the 1900 and 1920 census records together.

1900 census Montague County, TX
William A Walls (parents father-TN mother-TN)
Ines Walls
Gracie Walls
(James)Euell Walls
Jessee Walls
Auther(Arther) Walls
Elmer Walls

1920 census Montague County, TX
W.A. Wall(widowed) (parents father-GA mother-TN)
Willis S Wall
Albert D Wall
Brye(Bruce) Wall
Gracie Wall(I guess she lied about her age) Carl Wilson(Gracie's son from her former husband)
Nellie Benson
(Jasper Hugh)Lee Benson
Lela Benson(my aunt).

As for the parents of William Walls, I have found two possible sets of parents
1- John Washington Walls(TN) and Francis Ann Moulder(TN) in Benton county,AR. This is supported by the 1900 census

2- James T Wall(GA) and Margaret Hulda Rogers(TN) in Madison county, AR. This is supported by the 1920 census,and the WWI draft card for James E Wall has his birth as being in Madison county, AR.

I havn't been able to find a death date for William Walls yet but it's after 1920 and probably before 1930.