Hawaiian Revised Statutes.
[§338-17.8] Certificates for children born out of State. (a) Upon application of an adult or the legal parents of a minor child, the director of health shall issue a birth certificate for such adult or minor, provided that proof has been submitted to the director of health that the legal parents of such individual while living without the Territory or State of Hawaii had declared the Territory or State of Hawaii as their legal residence for at least one year immediately preceding the birth or adoption of such child.
(b) Proof of legal residency shall be submitted to the director of health in any manner that the director shall deem appropriate. The director of health may also adopt any rules pursuant to chapter 91 that he or she may deem necessary or proper to prevent fraudulent applications for birth certificates and to require any further information or proof of events necessary for completion of a birth certificate.
(c) The fee for each application for registration shall be established by rule adopted pursuant to chapter 91. [L 1982, c 182, §1]
Consider that Obama was not issued a Hawaiian BC from day one, granny may have lodged her statement claiming home birth in Hawaii and it got filed, and subsequently a newspaper listing entry was generated.
So it was 'filed', but not 'approved', waiting some form of verification that quite possibly was not forth-coming.
Later down the track Obama finds a need to have some form of evidence of Hawaiian birth, so he gets issued the COLB still marked as 'filed' but still no 'approved', this suffices for the time being, hence Fukino's ambiguous first statement 'vital records' and NOT 'birth certificate' at THAT TIME.
With the presidential election looming, Obama goes to Hawaii and applies for a birth certificate to be issued under 338-17.8
All he needs to 'prove' is that 'that the legal parents' 'had declared the Territory or State of Hawaii as their legal residence for at least one year immediately preceding the birth or adoption of such child'.
So granny signs an affidavit attesting to Obama's parents' residency requirements & granny had CONNECTIONS from way back.
Granny as the astute banker, etc that she was, had a high degree of credibility & trustworthiness in Hawaii.
HDoH accepts granny's affidavit as 'good enough for me', so Obama gets his application in the system for issuance of a 'real' BC, hence Fukino came out with her follow-up statement where she could safely say 'birth certificate on file'
So the 'birth certificate' may have been issued on the sole affidavit of granny, and Obama may very well have been born 'out of state', and to a British subject to boot.
It is also highly possible that Obama refuses to produce this BC for scrutiny, because it will have notations revealing the basis of it's issue.