Yes she can. However the wait might be longer than if it was a mother, father, sister, or brother.
Her child is definitely a US citizen which the baby's birth certificate proves it. but the mother cant apply for residency.
Get a working visa, and use it. Apply for and get permanent residency.
You must immediately apply for a permanent resident status.
After 3 years of legally married with a Romanian citizen, you can apply for a parmanent residence (Romanian Passport).
She will still need to be sponsored by the spouse (who is an American Citizen) and apply for residency first. Once permanent residency is granted, she has to wait (I believe it's approximately two years) to apply for citizenship.
If your legal resident status was obtained through marriage to a US citizen, you can apply for citizenship as early as 2 years and 9 months after you were granted permanent residency. If your legal resident status was obtained through means other than marriage to a US citizen, you may apply as early as 4 years and 9 months after you were granted permanent residency. Once you apply, it takes between 6 and 9 months to process.
Contact the nearest Danish consulate.
Yes.
Only if you apply to become a Canadian citizen. Once you get residency in Canada you can apply for provincial healthcare.
You have to apply for permanent residency, through INS. Check on the website and they will be able to give you information on the papers that you need to complete.
You do not need to be married any particular length of time to apply for US residency. Once you are married to a US citizen you can apply for residency right away. The process takes about 6 months to complete.
Yes. The foreign national would not yet be eligible to apply for permanent residency therefore divorcing his or her current spouse and remarrying would not affect his or her status. Be advised, that it may create difficulty when the application for permanent residency is made.