She doesn't want to move, she wants to keep her life and be philanthropic "walk to the grocery store" etc.
Admirable goals. Maybe she has an ex or two that might resurface, maybe violently. Maybe a long abandoned friend who has a drug problem turns up on her door. Maybe a disgruntled former employee - there are many valid reasons to want to maintain privacy.
It varies by state, I remember reading a long list of things to do (don't sign the ticket, legally change your name FIRST, then claim it, then change after if you want, stuff like that). Some states also require you to show up and have a photo that they publicize, but you can add facial hair, glasses, wigs, etc. And n most states you have a good amount of time to figure out what you want to do. I'm always amazed when I see families giving press conferences just days after the drawing...
I see billboards from local casinos and stuff with people's names and faces saying "Joe Bob here won $75,000!" and you could NOT get me to agree to that. If that was the price of winning, I would not play!