I slipped neatly over most of the to-do in the first draft on the profound and sophisticated reasoning that nothing much happened during her lying in. Plot starts happening again when she and her husband go forth on a progress, showing the realm that the crown prince has a son and heir.
It doesn't work. I might know it's not plot important, but the characters know it's very important to them.
I think I can pull it off in a scene. And perhaps throw in some references to how they check for trouble, because they don't know the villain won't strike. And a lot of subjects show up to pay their respects to the newborn prince, bearing gifts.