Scott is a fairly common name, but I'm the only Scot I know who spells his name with one "T." (It wasn't my idea, but I kind of like it.)
I laugh at Death wrote:
My brothers name is William Jacob, two of the most popular names. He wound up naming his son Jacob William, yeah so make of that what you will.
Probably a way of giving the son his father's name without the confusion that can result from being a Suchandsuch, Jr.
Or a son can have his father's first name but a different middle name, like the Reagans or the Bushes. Or the son can use a different nickname, e.g. Eugene Wesley Roddenberry Jr. who goes by "Rod" Roddenberry.