I appreciate your answer.
What I don't understand is the following:
The back of the W-2 states -
"Corrections. If your name, SSN, or address is incorrect, correct Copies B, C, and 2 and ask your employer to correct your employment record. Be sure to ask the employer to file Form W-2c, Corrected Wage and Tax
Statement, with the Social Security Administration (SSA) to correct any name, SSN, or money amount error reported to the SSA on Form W-2."
Further, this website details why it is important.
Googling found this option, if your employer refuses to make the correction.
If your attempts to have an incorrect Form W-2 (PDF) corrected by your employer are unsuccessful and it is after February 15th, contact the IRS at(NNN) NNN-NNNN An IRS representative can initiate a Form W-2 (PDF) complaint. Form 4598, Form W-2 or 1099 Not Received or Incorrect, will be sent to the employer and a copy will be sent to you along with Form 4852 (PDF), Substitute for Form W-2, Wage and Tax Statement, or Form 1099-R, Distributions from Pensions, Annuities, Retirement or Profit-Sharing Plans, IRAs, Insurance Contracts, etc. The copy that the employer receives will advise him or her of the employer's responsibilities to provide a correct Form W-2 (PDF) and of the penalties for failure to do so.
Why all of the preceding if it isn't such a big deal? The W-2 itself states that the employer should file a W-2c. The IRS website states that the employer is subject to liability if they don't file a W-2c.
I recognize the IRS will probably track my return information by SSN, but according to at least one of the links I posted there is at least the possibility of Social Security earnings not attaching to the name/SSN.
I guess my underlying question is: in the face of all of these cautionary documents (including the W-2 itself) -- why is there nothing saying its okay to let it go besides your word and the word of my employer?