This is an interesting question. The operative fact in this case, however, is that the daughter has attained the age of 18 years old and therefore is ineligible to be petitioned for under the rules. (There is missing information, such as whether the daughter was lawfully in the country at the time her father naturalized.) However, she is eligible to naturalize, if she is of good moral character and and has met the residency requirement of 5 years. It is advisable that the questioner seek...
Attorney Mulder is correct in her answer.
My colleagues are correct to caution you to seek legal advice prior to departing the country.
I agree with my colleagues. In many cases, immediate relatives of Asylees will be granted asylum based on the fact pattern of the original asylum application. However, filing for asylum puts you on a road out of the country. If you are successful, you stop; if you are unsuccessful, you have to keep going. I strongly urge you to seek the advice of an experience immigration attorney specializing in removal cases.
You have accumulated over-stay time, which bars you from the US for at least 3 years. You may have extenuating circumstances which may cause the State Department to wave the 3 year bar from admission.
The information provided is insufficient to give an opinion. If you desire a second opinion, see an immigration attorney.
You may petition for your daughter if you are a naturalized citizen or legal permanent resident. But if you daughter is over 21 and married, then they may fall into a category where a Visa will not be immediately available.
Yes. However it is likely that you will have to file form N-565 which is an application for a replacement certificate of citizenship or naturalization. It is filed in person or by mail with the local USCIS office having jurisdiction over your place of residence.