When I chose Diane Stephanie Brooks, I tried to pick names that matched my male initials, so I could use some "unisex" monogramed items in both personas. (And to emphasize that both names belong to Me! Neither is just a disquise. And also just for the fun of it.) Ended up matching the first two letters of each name. And I have always just liked the name Diane for some reason. Stephanie I borrowed from a childhood friend, who doesn't mind, and is rather flattered. I chose to include a last name, rather than just a first name, because Diane is just as real a person, just as much as part of me as my male "side."
DameErrant was an adaptation of my screen name on another site, where I am not a member currently.