It is a tricky thing, last names. In the "traditional" (ie, patriarchal) system, women always had to adopt the names of their husbands, so children naturally had the same last name as both their parents. That isn't the case now, as many women keep their own last name after marriage. This does create the tricky issue of what to do with the last names of the child - do they get the last name of the father or the mother?
I don't have a good solution, but the solution I dislike is the hyphenated name. At first glance it is attractive. The children is the result of a union of two individuals, so their last name is the union of two last names. But what about the second generation? You would need four last names hyphenated together. Then eight last names hyphenated together in the third generation, and then it really spirals out of control.
And, of course, this "elegant" solution is a disaster when it comes to Dutch names. Consider the author of this paper: Marieke H.J. van den Beuken-van Everdingen. Try fitting that on an immigration card at the airport.