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.
Being the tenth most common surname in the U.S., Wilson has countless possible last-named namesakes in every field, from politics to show biz. Those with Wilson as a first name are harder to find, beyond soul singer-songwriter Wilson Pickett and Wilson Rawls, author of the beloved book Where the Red Fern Grows. Wilson is also the name of Tom Hank's friend, the volleyball, in the movie Castaway.