Medicaid is administered by state governments in the United States, with the federal government providing a portion of the cost. Rules about eligibility vary, but families with private insurance are sometimes eligible if huge hospital bills are only partially covered. Call your local or county social service department to obtain the number for the Medicaid office in your area. Medicaid sometimes pays transportation and prescription costs. Some states cover children under the age of 21 if they are hospitalized for more than 30 continuous days, regardless of parental income. A hospital social worker or financial counselor can help you determine if your family is eligible for benefits.