Just some extra about documents like birth certificates. Pretty much, (if not definitely) worldwide, "Original" Birth, Marriage, Divorce, etc. certificates are the property of the government agency that issues them. The best the named person or other person can get is an "Original Certified Copy". To USCIS and NVC, photocopies or scans, of that Certified Copy are what gets submitted or uploaded. For "originals" at the interview, they would be original "Certified Copies", meaning one could have several. Not need to take somebody's one and only "Original Birth Certificate" to an interview, because that's not what it is anyway.
A different document given to parents by hospitals, is just a souvenir, useless in this context.