All you have to do to register a name is let the Secretary (Anne Tomkins) know and if no-one else is using it then it's yours. My original name was Humbug Stud after the mouse who got me into the whole thing, now I show as an AP with SarahC on this forum as Cudbill & McKeown (eventually we will be Cudbill & Walgate as I'm engaged). We did try to think of a name but decided to stick with our surnames instead.