Asking for a relative if their grandkids are eligible for US citizenship.
Background:
The grandmother and mother are both US citizens. Grandmother naturalized and mother was born in the US (in the 80's). Mother moved back to India when she was under 14 years of age and lived there until recently. She married an Indian citizen and had two kids born in India. Couldn't apply for CBRA since she did not live in the US as an adult. The father recently got a job and moved on an H1 visa to the US. The whole family moved to the US - the kids now have a H4 visa. The family plans to hire a lawyer to file green cards, but just wondering if that is the only option.
I suppose they could have applied for citizenship for the kids through the N600K option, showing grandmother's proof of residency. But now that the kids are in the US, I dont know if that is even allowed. Are the kids eligible for citizenship using grandparent's residency proof?