Kind of an old thread, just adding in on it because I've noticed a lot of people from different states commenting.
I'm in Oregon, and made 2 copies, but never ended up "using them up"
I still have both.
Everything I needed, I could walk in and do. I got my SSN changed, then ID, then birth certificate, and everything from there was mostly a matter of showing them my new ID and birth certificate, but there are times I needed to show my SSN as well to confirm identity. My insurance allowed a faxed copy instead of an "official" one.
It depends on where you're at, and if you cannot walk in and get stuff. Generally they won't keep your paperwork if you just walk in to get something done. If you mail it, they won't mail it back.