Within thirty days after the opening date of each school year of each public school district in the State in which a public school is being operated, the trustees or other governing board thereof shall make or cause to be made a complete census of all children of school age therein, that is, between the years of seven and sixteen years, inclusive, who have not enrolled in such school district or in some other district during the thirty-day enrollment period. The names, ages, places of residence and names of the parents or guardians of such children of school age not enrolled shall be forthwith filed with the county superintendent of education, who shall thereupon consolidate all of such names of children in alphabetical order into one list and certify the list to the attendance supervisor of the county.