You shouldn't be with someone that fantasizes about your kids.
Jane's new boyfriend pays an inordinate amount attention to her kids and now wants to have photos of them.
Jane wants to react to his interest in her kids.
Jane limits how much time he spends with her kids while she gets to know him better.
Jane indulges his interest and encourages her kids to spend time with him.
Jane is better able to gauge if he is safe to be around her kids.
Jane risks losing her kids when her boyfriends interest turns out to be inappropriate.