It appears that wife's employer makes contributions to an FSA, not to an HSA. An FSA is not an HSA.
An employer is not permitted to make HSA contributions for anyone who is not covered by an HDHP plan. Even if she was covered by such a plan, she is ineligible to have HSA contributions made on her behalf because she is also covered by your insurance plan which disqualifying coverage for the purpose of being eligible to make an HSA contribution.
If the contributions really were to an HSA, your wife needs to request a corrected W-2 to include code W in box 12 showing the total amount contributed through the employer and also obtain an explicit return of excess contribution from the HSA.
