No, report all income on one return. Contact your employer who prepared the Form W-2 with your prior name to request that they correct the form with the SSA to reflect your new name as it appears on your Social Security card to make sure your earnings are credited to your Social Security record and that certain deductions and credits on your tax return are not reduced or disallowed. You can correct the name on the copies of the W-2 that you use to file your return. If you receive a Form W-2c, Corrected Wage and Tax Statement from your employer, include a copy with your tax return.