This should work, but setting up last and first names in all three tables is not something you should do in the first place.
Given the above relationships, you can add the Last and First name fields from Massage Therapy to any of your layouts for MT Intake Form or MT Service Records and they will correctly display the first and last names from the Massage Therapy table.
With your current setup, if a client changes their name or you discover that you have incorrectly entered it and you need to correct the error, you have to make identical changes to multiple records in three different tables.
Thank you very much for your help. I see what you are saying and think I have it configured correctly now.
Again, many thanks. I never would have figured it out on my own!
I'm sorry - certainly meant to give you the BEST ANSWER, not me! Slip of the mouse.