If anyone wants to leave a facility to go and fill for a petition against a family member but the facility won't let them go, what should they do next?
Guardianship is a step by step process. During the hearing a court officer will be the temporary Guardian Ad Litem. At this point, do everything you can to make the Judge happy. Nobody can move her right now. Be patient.
When you say "we are on the run" do you mean that you left the facility against medical advice"? That is not going to sit well with the judge, my friend.
Not enough information. The facility could be committing unlawful restraint or could be doing exactly the right thing.