His father's name is listed on the short-form COLB. So again, why do you need the long form, exactly?
The COLB is a barely a legal document, by Hawaii’s own definition it only reflect the latest version of what is in their records and does not included earlier information they might have had.
For instance if Obama had been adopted the COLB would not include that information, if Obama is now his real name, that information would not be on the COLB as well.
And in an odd twist of fate, if Obama had been born a female, his COLB would not show that as well if he had taken the proper steps to change the information after gender reassignment.
The reason the COLB doesn’t have the weight of the original is that it is just a facsimile of the most recent information added to Hawaii’s files.