Anyone can swear and sign the form to the registrar in Hawaii that they were a citizen of Hawaii and within the previous year gave birth. The individual gives the date/time of the birth and a document record is dually entered. Perhaps someone can inform as to whether you even need to show the baby! Doesnt look like it from my read of the statute.
One can get a Certificate of Live Birth with its minimal documentation. The date of birth can be any date the person enters, This document can be used to then establish citizenship for the purpose of getting a passport, but its lack of physically identifying information found on the "Birth Certificate" precludes it from being useful in proving "Natural Born" status.
The normal Birth Certificate has uniquely identifying information along with eyewitnesss (doctor, nurse, orderly) and the specific location so that it is now verifiable and traceable.
http://peoplespassions.org/peoplesvoice/BirthCerts/Archive/Birth_Certificate.htm