And just what do you think might be inside those folders marked 'births' in the archives?
Well, why don't you tell me.
Obviously, either the long forms themselves or contemporaneous copies thereof. Hopefully there are backups somewhere other than the island of Oahu.
Now what do you suppose the HDoH physically did in order to provide Judy Corley with those two certified copies she carried back to the White House?
Obviously, somebody descended down into the stacks, found the volume containing the long forms for August 1961, took it off the shelf, turned to Obama's form, pressed it down onto the copier, made two copies, then signed and stamped them. Duh! Those copies are what they turned over when Ms. Corley showed up to collect them!