If given ample opportunity to become a citizen to prevent this from happening and having direct refusal of the other person, then absolutely. We aren't talking about ANY person, we are talking about a Parent, who is here illegally and having a child here prior to being caught. This also means that BOTH parents would have to be here illegally, and refuse to become U.S citizens, even when given the chance to become one. I mean, it's either that, or fill up children's homes with the children of illegal immigrants because they were deported and the child gets to stay due to citizenship.