Curious since I have Knott/Knotts in nearby Garfield County I looked up Knotts in Payne County, OK and may have found the parents of Carrie. If the names of children of Carrie Mae Knott and Rufus Sanders has any bearing from Carrie's parents.Not related but hope this helps.
1900 census Eagle Township, Payne County, OK Emery Knott and Lula Knott with son Monty Joe(sp?)
1910 census Eagle Township, Payne County, OK Emery D.Knott and Lula E. Knottwith children Mawnntey J(sp?),Cora/Cara M., Maud A., Susie L.and
1920 census Eagle Township, Payne County, OK Emery Knott has a new wife and more children and stepchildren.
1920 census Clear Creek Township, Payne County, OK Rufus Sanders and Carrie M. Sanders with childen.