Orlanthi Clan Fission

From what I understand, the common reaction to an Orlanthi clan becoming too big (above 1500 or so, if I recall correctly, but I might be off) is for a portion of it to organize into a new splinter-clan and move off.

Now, granted, for all I know it's probably equally possible for individual households to simply move off an join a nearby, less crowded clan (possibly as half-free cottars) which sounds a lot less dramatic and thus would probably get a lot less press in a cool storyline about wandering into new lands and doing heroic deeds and all that.

My question is mostly this: if there is a new clan broken off from an old one, how do they choose a name, do they continue to remember/mark their origin from another clan, do they preserve the mythic traditions of their previous clan (I'd imagine yes, can't see why not, unless they make some new connections in their new area, like finding a nymph or something).

Realistically, how many people, and how far can you imagine moving off? (this will be mostly women, children, elderly, farmers and livestock after all, not a band of dedicated warriors) Is this even a feasibly tactic in the more densely populated areas, such as in Heortland? Do you think it's common to send out an exploratory party first? Can one perhaps negotiate with a clan that has a claim to an area, but can't effectively populate it? (of course, this would call in question their claim to it, so the point might be moot).