I'm not sure if this will help you or if it's the same family you are looking for but this is the info that I have for my Wiley family.
My Grandmother was Ada Alberta Wiley married to Charles Chester Carr.
Ada Alberta Wiley Carr. born? died 1924 AdrianMI. Daughter of John T. Wiley dob 7,25,1847 in Ashland Co. Ohio married to Mary May Reed born in Ohio. John was son of Thomas Wiley III and mother Catherine Miller married 9,24,1846. Thomas the III was son to Thomas Wiley Jr. born 1787 married to Mary Polly Vineke born 1794 Thomas Jr. was son of Thomas Wiley Sr. born about 1761 in Colorain Londondarry Ireland.