Whenever it is made to appear to the county department of human resources that the name of a pensioner has through any error or omission or inadvertence been dropped from or left off the list of pensioners, it shall certify such fact and the length of time omitted or dropped and the amount due such pensioner, to the State Department of Human Resources, and if it is satisfactorily shown that such pensioner is justly entitled to be restored, the State Department of Human Resources shall order and the Comptroller shall issue his warrant for the amount shown to be due, the warrant to be delivered to the pensioner as other warrants are delivered.