It should refresh as you describe, picking or entering a different Name ID should cause the name field from the related table to update and show the name from the newly matching record. If you click a blank area of the popover to commit records and yet keep the popover open, do you see the name update?
Many thanks for your reply, I have tried what you've suggested and no changes. The problem that it does not change directly. I have to go to another record and come back to see the difference.
That suggests that there is more involved here than you have described thus far or it would update. I suspect that there are other details with your relationship and/or your layout design invovled.