Also, Severus is an awful name for a child
I don't think it's outstanding in a world of Bartemius, Mundungus, Elphias, Bathilda, Nymphadora, and Xenophilius, though!
Though by Harry's generation, virtually all Hogwarts students appear to have ordinary, if in some cases rather old-fashioned, Muggle names and surnames Ernie, Percy, Susan, Ron, Pansy, Millicent,, Lee, Michael, Seamus, Anthony whereas you'd tend to expect a big difference in name 'types' between Muggle-borns like Hermione and the Creevy brothers, and children from wizarding families.
(Draco is unusual in this, for his Hogwarts generation.)
Also, it's interesting that while the Hogwarts staff (presumably some at least of the same generation as the parents of current Hogwarts students) almost all have obviously 'odd' magical names like Filius Flitwick, Pomona Sprout, Quirinius Quirrell, Rolanda Hooch, Gilderoy Lockhart etc, the parents/close relatives of children we hear mentioned often have ordinary Muggle names and surnames -- Frank and Alice Longbottom, Arthur and Molly Weasley, Amelia Bones, James Potter.