[euram]

All I know is that my daughter has a Certificate of Naturalization, whether there is a Consular Record of Birth Abroad, I don’t know, and never even thought about that.

[Cboldt]

There is another form too, called a Certification of Citizenship. That form is used by the Immigration and Naturalization service when a person born abroad is a citizen at birth, but did not obtain a Consular Record of Birth Abroad before they reached the age of 18.

All of those forms are evidence of citizenship. The argument is over whether any of them can be taken as a "Certificate of Natural Born Citizenship" (no such document exists, just using that phrase to describe what many find to be the legal effect when citizenship attaches at birth, without a naturalization procedure).

[John Valentine]

All I know is that my daughter has a Certificate of Naturalization, whether there is a Consular Record of Birth Abroad, I don’t know, and never even thought about that.

She could have one or the other, or neither, but never both.