(a) To be eligible for this Program, a person must be a person who has a child eligible under this Act and who is eligible under a waiver of federal requirements pursuant to an application made pursuant to subdivision (a)(1) of Section 40 of this Act or who is a child who: (1) is a child who is not eligible for medical assistance; (2) is a child whose annual household income, as determined by the Department, is above 133% of the federal poverty level and at or below 200% of the federal poverty level; (3) is a resident of the State of Illinois; and (4) is a child who is either a United States citizen or included in one of the following categories of non-citizens: (A) unmarried dependent children of either a United States Veteran honorably discharged or a person on active military duty; (B) refugees under Section 207 of the Immigration and Nationality Act; (C) asylees under Section 208 of the Immigration and Nationality Act; (D) persons for whom deportation has been withheld under Section 243(h) of the Immigration and Nationality Act; (E) persons granted conditional entry under Section 203(a)(7) of the Immigration and Nationality Act as in effect prior to April 1, 1980; (F) persons lawfully admitted for permanent residence under the Immigration and Nationality Act; and(G) parolees, for at least one year, under Section 212(d)(5) of the Immigration and Nationality Act. Those children who are in the categories set forth in subdivisions (4)(F) and (4)(G) of this subsection, who enter the United States on or after August 22, 1996, shall not be eligible for 5 years beginning on the date the child entered the United States.