No. Your spouse has not broken any laws as she has not overstayed a visa. AP is for people who have overstayed and would normally not be allowed back in. Which is why it is an “Advance Parole” to set aside their offence and let them back in.

@B Akin; you are right but kindly also note that AP is not only meant for anyone who has violated their VISA status. Generally, AP is meant for anyone who does not have a valid visa status or visa to re-enter the US after their temporary departure . The point is: AP also applies to people inside the US who have valid legal status but whose visas have expired. So, such people (even with their valid status), will need new visa or AP to re-enter the US in case they depart since they are already in adjustment of status process. For example: assuming without confirming that @PJ who is in AOS departs the US, he will need his i-485 based AP to re-enter the US if his original visa has expired… @PJ; your wife and kid don’t need a parol because they were never inside the US. The gist about parol is that the applicant is seeking it to re-enter the US after departing the US. If you intend to bring them in before you get your greencard which will enable you to file i-130 for them, you can have them apply for normal b1/b2 visa. @ PJ; I took my time to respond to you because your face looks like someone I knew back then in Unilag.

@O David: 👌🏾

@O David well said ❤️

Thanks @B. Akin and @O David. I'm really thankful for the responses. Meanwhile, @O David, the chances that I'm the fellow you recognize from the University of Lagos is 95% so. Thank you for taking the time out for an elaborate answer.