I am just beginning research on a Routt family of KY. The following information is from James Russell Routt, son of Peter Russell Routt.I think your Wylie might be in this family.
Children of Alfonzo Peter Routt and Elizabeth [last name unknown]
NOT in age order
Peter Russell Routt b. 1897 Anderson Co. KY (Lawrenceburg) d. Mar 4, 1987, Chicago, IL m. Mary Tunis Gravette (daughter of Alonzo Carlton Gravette, Sr and Mary Glass) children: Mary Elizabeth b. January 1945 and James Russel b. April 1955
John Routt (known as Tinker) Willie Routt and Wylie Routt (twins) -- this might be your Wylie Ethie Routt (died in 1930s of flu)