I wonder if the literal use of the suffix -son might be an another interesting baby name option for some families.
Perhaps if the parents like the idea of a Jr., but neither of them particularly want to use Robert: too common, not modern enough. Their son could be Robertson: a family-related honor name, a Jr.-type concept, and an in-style surname name all in one.
Or maybe if the parents are conflicted about a family naming tradition: they’d hate to abandon it, but on the other hand the dad felt it was a headache sharing a name with his dad, and he wants his son to have his own name. Perhaps they won’t have a Thomas Scott Andrews IV, but they can taper it off by calling him Thomason.
This naming idea has an issue we don’t run into when Peter has a son named Peter: using the -son could seem to exclude the other parent. Peterson is Peter’s son but he isn’t ONLY Peter’s, and/or we wouldn’t want to imply that Peter was the only important parent. And yet we’re not going to use Sarahson or Ashleyson, any more than we’re going to use Robertdaughter or Thomasdaughter.
The other issue is that it can only be done once: David can have a David Jr. who can have a David III, but David’s son Davidson is not going to name his own son Davidsonson. That part’s okay with me, though: Davidson could have a Davidson Jr. if he liked, and in fact I like that it’s a way to do a Jr.-like name WITHOUT putting pressure on the next generation to continue it.