Your ORIGINAL certificate of naturalization, the child's green card, original birth certificate and English language translation, written consent from the non-custodial parent, if any or if in this country, as well as 2 pictures and passport application fee.
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You should not ask this question at the country clerk office or passport bureau? You need your Cert of Natz; her LPR card and birth certificate with certified translation if not in English; written consent of the other parent or your sworn statement there is no other parent, whichever the case might be; pictures and fees.
The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter,not should it be viewed as establishing an attorney client relationship of any kind.