What is the ruling of Islamic law regarding a mother's refusal to give her daughter anything from a house she inherited from her husband, claiming it is registered in her name, even though she did not pay any money for it, and knowing that she gifted her other son an apartment, a shop, and another property?

It is permissible for a husband to gift his wife whatever he wishes from his wealth, without the obligation of equitable distribution between her and his children, provided that this does not harm the heirs. As for the mother, she must be just in her giving to her children and not prefer one over another. If she does, she must reclaim what she gave or give to the others until justice is achieved. The proof for this is the hadith of Nu'man ibn Bashir, may Allah be pleased with him, and that justice between children is achieved by giving the male the equivalent of the share of two females.