The fee bills made out under the preceding section shall show on their face that they are for fees due the decedent, shall be signed by his successor, and shall have the same force and effect and shall be dealt with by all officers as if they were for fees accruing for services performed by such successor. All fee bills made out by such deceased clerk in his lifetime shall go to the custody of his successor and shall be dealt with by him and all officers as if they were fee bills made out by him for his own services.