The product of Henrietta Hayden (nee Cole)'s liaison with Charles Ewing was William Leo Hayden. "William Ewing" is, to the best of my knowledge, an individual who never existed. After Henrietta acknowledged the affair, Basil legally adopted William Leo, which is why he last name was Hayden.
This is also why the text on your listing for William Leo Hayden refers to Lewis Hayden, a full son of Basil and Henrietta, as William Leo's "half-brother". Because they were half-sibings -- they shared one parent in common, Henrietta.
(William Leo Hayden was my 4X great-grandfather.)