Application for TANF assistance under this chapter shall be made to the county department of the county in which the dependent child resides. The application shall be in writing or reduced to writing in the manner and upon the form prescribed by the state department. Such application shall be made by the person with whom the child is living and shall contain information as to the age and residence of the child and such other information as may be required by the rules and regulations of the state department. One (1) application may be made for several children of the same family if they reside with the same person.