Is it permissible to sell the heirs' only house despite the mother's refusal, and what is the ruling of Sharia on this if the children are in dire need of money?

Upon the death of the inheritor, the inheritance becomes the right of the heirs, and it is not permissible to prevent them from their rights. Obedience to parents is obligatory unless it entails harm to the child. Therefore, the children have the right to claim their inheritance due to their dire need, and this is not considered disobedience. Filing a lawsuit claiming the mother's incompetence is not permissible, as it is a lie and harmful to her, and could lead to selling the house at a low price.

One must try to convince the mother kindly and explain that it is not permissible to prevent heirs from their rights. When selling, suitable housing must be provided for the mother, whether from her own money or from her children's money.