If the illegal has an anchor baby - that anchor is eligible for the governmend paid health. BUT SO IS THE ANCHOR'S DEPENDENTS.

See this clause: SEC. 202 (1)

EXCHANGE-ELIGIBLE INDIVIDUAL- The term `Exchange-eligible individual' means an individual who is eligible under this section to be enrolled through the Health Insurance Exchange in an Exchange-participating health benefits plan and, with respect to family coverage, includes dependents of such individual.