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ANSWER: I am an immigration attorney. I do not have any idea why the fees are more for the N-600 than they are for the N-400. The fees are set by the Agency.
Although requesting a certificate of citizenship is not required, people get it as a way to show citizenship, especially in cases where they do not intend to get a passport. And some people get it because the Department of State is more likely to misunderstand the regulations and evidence required to issue a passport, so a Certificate of Citizenship makes that easier on them and requires less work collecting document for you.
But the Certificate of Citizenship is not required for the issuance of the passport. She is a US citizen, and is entitled to a passport. Her parents (you and her mother) will have to collect and provide the documentary evidence to the passport office.
So if you do not want to get her a Certificate of Citizenship, then she will need the following with her passport:
- Her foreign birth certificate listing your parent(s)
- Her parent(s)’ naturalization certificate
- Evidence of her permanent residence status.
- Her parents' marriage certificate (if your parents were married when you legally entered the U.S. and before your 18th birthday)
- Documentation of legal custody (if her parents were not married when she legally entered the U.S.)
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