Like the Hawaiian Department of Health certified copy of the Hawaiian certificate of live birth for Sun Yat-sen, who was born in China?
Sun Yat-Sen is a bad example. I believe Hawaii is very irresponsible in the issuance of birth documents and I have no doubt they have issued them to foreign born people often in the past, but the Sun Yat-Sen example is SOOOOO OLD that it conveys no moral imperative to take it seriously. An example from the 50s or 60s would serve far better. Of course the problem with obtaining an example from this era is the possibility that it constitutes proof that Officials were complicit in an intentional fraud, and along with the possessor of such a document may yet be held to a reckoning with the law. It is in the interest of both the holder and the issuer of such a document to be quite about it.
Even so, the Sun Yat-Sen example is too far away from the period of interest to be taken seriously. Not possessing a good example doesn't mean we should use a bad example.