Can I continue to carry my niece on my taxes if she has independent status for her financial aide, she has a 11 month old child and I support both of them. She does get assistance for her daughter(medicaid and WIC)

Tax-wise, if you are providing the support, you can carry them on your return as dependents.

However, LEGAL-wise, it MAY affect their MediCaid and WIC status. A phone call to the appropriate agencies will get you accurate guidance.