Oh yeah, they certainly do seed themselves around. I've even got several different BBs coming up in cracks in the walk (and quite a distance from any others).....and they're blooming. They don't look particularly true to any likely parents, but they're sure pretty anyway.
Anyway, I've given away seedlings that do quite well, and transplanted some of my own. Otherwise, it's easy enough to weed them out; they don't seem to reproduce in the thousands or anything like that and they're shallow-rooted.
Best, Tyra nNJ usa z7a