Should the wife pass away upon the death of the insured or pensioner or thereafter, or should she remarry, her share shall be transferred to her children from him who benefit from the pension in equal shares among them. Should she have no children from him, her share shall be transferred to the widows of the insured or pensioner living at the time of her death, in equal shares among them. Should there be no widows, her share shall be transferred to the Committee.