Jim Vick wrote: the system has misidentified a few individuals and it appears impossible to correct and have the individuals correctly identified in the Peoples & Pets Albums.
The system has been trying to learn how John looks and how Joan looks, etc. But somehow it got confused. You should go back to all the pictures it thinks are John, click in the circle of those who are not John, and choose "This is not Mark." (In the worst case, you might have to do all of John's pictures--hope not.) Do the same with Joan, and others.
Another technique is to go to John's people page, control-click on a picture that doesn't really have John in it, and select "John is not in this photo."
Many of us have added the keyword "John" to all the pictures of John, and so on, so we don't rely solely on the AI's identification.