There are separate Master Pages for Full Score and Parts. This may be part of the problem.
Also be sure you have put the text frame on the correct “side” of the master page and separate First and Default pages in each set. Frequently (when I started out) I would format the left side of a Master Page and forget that the first page of my score actually used the Right-side Master Page.
Sometimes a screen shot of what is going wrong can help us diagnose a problem more clearly, although more complicated problems will require a zipped Dorico file (or an abbreviated version thereof) to get to the bottom of things.
Derrick, I was indeed editing the left page, when I needed to be editing the right side page. Text frame is now appearing in parts as expected. Thanks for setting me straight!
OldSchoolMark, Ctrl+Enter (or Cmd+Enter on Mac) is just a way of leaving the editor.
You can actually also use Escape to achieve the same.
Leaving the Frame Editor this way does keep your changes. You will still have to save them though.
I think I see what you’re trying to do. Note that Anthony is editing a page directly and is not in the Master Page editor. If you are in the MP editor you will see the tokens and not the actual flow name.