That is a good question. No, we don't do anything with names at the moment. Names are hard because they don't follow a pattern. The next version will flag columns named first_name, last_name, fullname, or customer_name. That should be published later today.
Beyond that, pii-hound supports custom rules. A user could create some rules to match known names if they wanted.
I am open to ideas of other ways to close that gap.