Since you physically work within Maryland for 3 days per week, any income earned while you are within the state is considered Maryland sourced income. Assuming you are not within Maryland for more than 183 days during the year, you would still be considered a nonresident and would file a nonresident return. If you were within Maryland for 183 days or more, you would be considered a statutory resident of Maryland and would need to file as a resident.
In regards to your income and withholdings, if your earned income meets the threshold requirements based upon your filing status as listed on page 2 of these instructions, you would need to file a Maryland return and have Maryland withholdings on those wages. You will be entitled to a credit on your Massachusetts return for the taxes paid with your Maryland return for the same income that is also taxed within Massachusetts. Be sure to complete your nonresident return first to ensure TurboTax computes the out of state credit on your Massachusetts resident return.
Please also see this link for more details on how to report your income when you live and earn income in more than one state.
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