Thank you everyone for your valuable advice. She holds a J-1 visa and mentioned that the children could obtain J-2 visas. Regarding the children's father, they were never married, and she has been primarily raising them alone with full custody. I am particularly interested in MMRF's comment, "Is your girlfriend on a J-1 with a two-year home requirement? You shouldn't make any plans until you have this answer." Is there anything we need to work on, or will an I-130 petition take precedence over the J-1 status?