What is the ruling on a wife fleeing with her son, carrying him to another country, due to the ill-treatment, corruption, and physical abuse she suffers from her husband, and was she entitled to take her children?

This is a judicial matter for the judge to decide. The fundamental principle is that the wife does not have the right to travel with her children, intending to settle elsewhere, without their father's permission, even if she is divorced and has custody. Such a relocation would forfeit her right to custody. If she is still married, she is not permitted to leave his home without his permission, except for a legitimate Shar'i (Islamic legal) excuse, let alone travel. If the woman is harmed and wishes to divorce and travel, and fears for her children, the matter must be referred to the judiciary to resolve the dispute.