What is the ruling on money collected by a widow through begging and deception, which she then invested in buying two homes for her children and small businesses after her repentance? Is this money considered lawful for her and her children?

Begging and asking people for money without need is forbidden. The money collected through this method is illicit and must be disposed of by spending it on good causes and giving it as charity to the poor and needy on behalf of its original owners. If the beggar is in need, she may take from it what suffices her need, and there is no blame for what has already been spent.