Have you contacted the employer and requested a corrected W-2 form?
Hello again lp,
This error should not cause you to pay in any more taxes than you already do or do not owe.
If the employer has been withholding taxes from your paychecks all year as he should have been doing, then you need to have him give you a corrected W-2 form with your correct SS number. He also then needs to supply that corrected information to the IRS. If the taxes have been withheld then this is just a matter of correcting the records so that those taxes are credited to the correct taxpayer.
The employer apparently just keyed in a wrong SS number in your payroll records, and he simply needs to correct this by issuing you a corrected form. It should not have any affect on the taxes you actually owe or any affect on the employer.
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Thank you lp