Two syllables.

Verda was a fairly popular girls' name in the US from the 1880s through the 1920s, when it started to slip, finally dropping from sight after World War II.

Wilson is a substantive presidential choice far less prevalent than Taylor or Tyler, and with the advantage of being a new route to friendly nickname Will. We see Wilson growing in popularity as an alternative to William; and as a patronymic, it would make a conceivable (if possibly confusing) choice for a son of William.