It appears that it is quite clear the Original Certificate of Live Birth is held in trust if the only thing we can obtain is Copies of the original:

Florida Statutes: 32.025 (4)
CERTIFIED COPIES OF ORIGINAL CERTIFICATES.—Only the state registrar and local registrars are authorized to issue any certificate which purports to be a certified copy of an original certificate of live birth, death, or fetal death.

They even call it safety paper so there is an interest to protect the person(paper form):

" certification that contains an embossed seal incorporated into the safety paper, which meet requirements established by Homeland Security and other national and international groups."
source: http://www.doh.state.fl.us/planning_...irth_death.htm

Yes, John Booth. Ontario does registers events and not people, here is a image clip of a document from Ontario Vital Records:
Name: events-not-people.jpg Views: 265 Size: 46.5 KB