Are male children obligated to stay overnight with their elderly father, who lives with a maid and wishes to marry, especially since he refuses to reside permanently or temporarily in their homes?

If the father refuses to leave his home, then it is not permissible for him to remain with a foreign domestic worker. The children and their families must take turns residing and staying overnight with him until they marry him off. Marrying him off is an obligation upon the capable children if the father is in need of it, and this is the view held by the majority of jurists.