Someone mentioned in comments here that you can get anyone’s birth certificate in California, but unless you are an “authorized person” (such as the person named on the certificate) the document is marked in large letters: “INFORMATIONAL, NOT A VALID DOCUMENT TO ESTABLISH IDENTITY.”
It wasn’t always that way. Around 1989 a Swiss immigrant walked in to a California office with the name and birth date of someone he found who was about the same age, paid a few dollars and got a birth certificate for that person. Then he took the birth certificate and applied for a drivers license. With the birth certificate and the drivers license he obtained a passport. Things went well for him until somehow the man whose identity was stolen got wind of it and filed a complaint. The New York Times reported the story in 2000.
And that is why states are careful about who they give certified copies of birth certificates to.
By the way, did you know that Hawaii was the first state in the nation to adopt a photo ID for voters? It’s true, over 20 years ago. Fraud-fighting Hawaii was one of five states in 1997 that fingerprinted drivers license applicants.
Try as I might, I have yet to find a single instance of a person obtaining a birth certificate from the State of Hawaii by fraud. (Hawaii was not a state in 1904.) The best I could do was the example in this article of a man who used faked California documents to get a US Passport while living at the time in Hawaii.