It’s one thing for her to be a bit busier, especially as she gets the hang of the new responsibilities, but it’s another thing to see her coming in early, staying late, and writing emails all weekend. It’s amazing to me how many people never quite learn how to let go of tasks and so are just constantly working longer and longer hours. Make it clear that you expect the new manager to hand off some of her old work, and help her identify opportunities to do so.