How to theme a view that displays content from a relationship? I have a page for Organization. Each organization has a Featured Person field which is an unlimited node reference to the Person content type. The organization can have many featured people. I also need to be able to customize the markup for each view-row and therein lies my problem.

I set up the view according to another question. The view is able to select and display the correct Person data only when Show: Content. AFAIK, this does not let me customize the markup for each row because the rendered markup is sent directly to the template. 

If I change to Show: Fields in order to get more control over the theming, the view will display the fields related to the organization, not the people (since I am on an organization page, and the contextual filter is set to the organization id, I suppose).

How do I set up my view so I can display the relationship content (Featured People) and still customize the template for each row or people?
With Show: Field, each individual field can be toggled to any of the relationships in the view. It is similar to Show: Content and Show: Rendered Entity except the dropdown list is buried one step further down. 

Switch to Show: Field, and edit each field and set the dropdown list to the Featured Person relationship. Then, go about your theming just as you would with any other fields template.