If you have changed your name over the past year, you must advise the Social Security Administration. You use Form SSA-5 (available at www.ssa.gov) to change your name on your Social Security records. Do this before filing your taxes. The IRS uses your Social Security number as your taxpayer identification number. If your name and Social Security number information do not match, your return will be rejected.
If you have married and retained your original surname, you do not need to notify the Social Security Administration. The tax form provides separate lines for each spouse's name and Social Security number.