This is stated on his FamilySearch profile:
”In the 1900 census William was living in Caseyville Magisterial 4 (west part) Kentucky with his wife Mary Jane Stinson and children Oscar, Agnes, Annie, Thomas, William and Viola. In the 1910 census Mary Jane was listed (widowed) and living in Beaver Dam Kentucky with her sons William and Thomas. Living close by are her son-in-law Charles Stone and her daughter Agnes. No mention was found of what happened to William Henry and youngest daughter Viola between 1900-1910. Cemetery records were checked in Caseyville for that time period with no records being found on either. Union County Genealogy Library records were checked with no mention of them.”
Currently, there does not seem to be further information. https://www.familysearch.org/tree/person/vitals/G9YN-XKY