Here is a word from the Goodfellas at the IRS:
IRS Tax Tip 2013-21
If you were married or divorced and changed your name last year, be sure to notify the Social Security Administration before you file your taxes with the IRS. If the name on your tax return doesn’t match SSA records, the IRS will flag it as an error and that may delay your refund.
Here are five tips for a person whose name has changed. They also apply if your dependent’s name has changed.