@chicagoan I-130 is pretty straightforward. If you don’t have any issues in your immigration history and have all civil documents in order it should be approved. Can they legally stay here with approved I-130? Probably not. Mine took almost 1.5 year with a RFE to get approval. They are doing witch hunting so the process looks like in process and they are doing work. You would have to keep extending the visa. You know always consult an immigration lawyer and it’s like 500-800 bucks most time