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No she is not eligible to make a deductible IRA contribution based on the W-2 information. If she is not covered by any retirement plan (meaning she does not contribute nor does she receive any employer contributions, accruals or any forfeitures) then the W-2 information is incorrect and she should have her employer issue a corrected W-2. If a corrected W-2 is received with the box 13 retirement box unchecked, then she would be eligible to make a deductible IRA contribution.
See pages 14 - 16 - http://www.irs.gov/pub/irs-pdf/p590.pdf