Isn't this clearly a "work for hire" scenario? Like Gracey said, it's the property of the owners of the home.
The invasion of privacy claim is really odd. Is Neri that ashamed of her work that she doesn't want anyone to see it? She should be happy that it was part of the award, and use that to capitalize on future work for hire.
I don't know about Kitchen Nightmares, but Hell's Kitchen IS a bunch of out of work actors and family/friends of people on the staff. There is no actual Hell's Kitchen restaurant, it's just part of a TV recording studio.
That's why some of them seem like they're there just to make a big enough fuss to get themselves on TV, because they are.
I've always thought this was true. It's like they raid the out-of-work (or over-aged) modeling agencies in LA.