I use a variation of my initials/name; I can use that for my sports related photos or fine art work. I think people get to know you by your name, if you come up w/a clever business name will they know it's you? How will they associate it with you?
I like to keep things simple, I'd probably think about some combination of your name (full/real name or e.rose) like - Photos by e.rose, Seniors by e.rose, something like that. Using rose seems more geared to women, you could maybe adapt that for boudoir photography.
Have you looked into domain names that are available? In case you might want to have your own website someday (unless you do already).