State tax filing

You will need to file two state returns. One for your resident state and a Maryland return as a non resident. TurboTax suggests that you complete the federal return, then the nonresident return and then the return for the state where you live. 

Maryland has reciprocal agreements with Pennsylvania, Virginia, West Virginia and the District of Columbia. If your employer withheld tax for one of the reciprocal states, you can claim a refund from the reciprocal state. You cannot claim a credit on your resident return for the reciprocal state.

According to the information in the nonresident instructions for Maryland, your taxes should be returned in entirety. You will need to mail the return to claim the refund.