you need a corrected w-2 to show wages as NJ.
here's what MD says about the error if you are a nonresident - file nonresident return form 505
MARYLAND TAX WITHHELD IN ERROR
If Maryland tax was withheld from your income, you must
file to obtain a refund of the withholding. Complete all of the
information at the top of the form through the filing status,
residence information and exemption areas. Check the box
provided to the right of the residence information for you to
indicate your withholding was withheld in error. Enter your
federal adjusted gross income on line 17 in both columns 1 and
3 and line 24. Then complete lines 43-47, 49 and 51.
Sign the return and attach withholding statements (Forms W-2
and/or 1099) showing the Maryland tax withheld equal to the
refund you are claiming.
Your return is then complete. You must file within three years
of the original due date to receive any refund.
you are also going to have to file a NJ return. be prepared for penalties because no taxes were withheld.
