The issue you have is whether (or if) your grandfather renounced his Italian citizenship before your mother was born. This was required at one point to obtain U.S. Citizenship. If he renounced it before your mother was born, you're out of luck. If your mother was born before a renunciation, then you can proceed with out waiting for your mother. Or, you both can proceed together. I've gone through this process. My grandfather renounced his Italian citizenship after my father's birth.
I recently successfully went through the citizenship process. You will need to obtain all of the vital documents of your grandfather, parents and yourself. i.e., birth, death, marriage, and divorce certificates, as well as U.S. entry documents and U.S. naturalization certificates. U.S. documents need to be translated to Italian and receive an apostate for the issuing state's Sec of State's office. The apostate is simply a certification required for international use. If you have any minor children under eighteen they will automatically obtain citizenship with you. So you will need their birth certificates also.
There are several services that you can work with to obtain the documents, translations and apostates. It's not cheap, but I would highly recommend you do some internet searches and hire a service.
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The issue you have is whether (or if) your grandfather renounced his Italian citizenship before your mother was born. This was required at one point to obtain U.S. Citizenship. If he renounced it before your mother was born, you're out of luck. If your mother was born before a renunciation, then you can proceed with out waiting for your mother. Or, you both can proceed together. I've gone through this process. My grandfather renounced his Italian citizenship after my father's birth.
I recently successfully went through the citizenship process. You will need to obtain all of the vital documents of your grandfather, parents and yourself. i.e., birth, death, marriage, and divorce certificates, as well as U.S. entry documents and U.S. naturalization certificates. U.S. documents need to be translated to Italian and receive an apostate for the issuing state's Sec of State's office. The apostate is simply a certification required for international use. If you have any minor children under eighteen they will automatically obtain citizenship with you. So you will need their birth certificates also.
There are several services that you can work with to obtain the documents, translations and apostates. It's not cheap, but I would highly recommend you do some internet searches and hire a service.