Try to follow along exactly what is posted. I can see where you have problems in comprehension of the articles on obama's eligibility if you read more or less into what is represented.
[§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.
Who is Eligible to Apply for the Issuance of a Late Birth Certificate in Lieu of a Certificate of Hawaiian Birth?The Certificate of Hawaiian Birth program was established in 1911, during the territorial era, to register a person born in Hawaii who was one year old or older and whose birth had not been previously registered in Hawaii. The Certificate of Hawaiian Birth Program was terminated in 1972, during the statehood era.
The answer is "nowhere." You can speculate and theorize that they did, but you can't state it as a fact , since no one -- including the attornies filing these lawsuits -- has come up with any evidence that Hawaii changed the place of birth on any such certificate.
The Certificate of Hawaiian Birth Program applies to "a person born in Hawaii who was one year or older and whose birth had not been previously registered in Hawaii," so how is that relevant?