It is by no means unusual for a doctor to take their residency at a different school or schools than where they went to med school. In fact, I would venture to say that it is more common than not for more than one school to be involved. You go to med school at Yale; you take a residency at Harvard or Columbia. You go to med school at Harvard; you take a residency at UPenn or Dartmouth. That's quite standard.
If your only concern is "protecting the general public" then all you have to do is submit your "proof" to the licensing board. It's not necessary for you to know what action they will take.