The name on your W-2 and the name on your tax return do not have to match, but the Social Security number must be the same.
The error code received is not associated with the difference on the W-2 and your tax return, it has to do with your Social Security number on your tax return.
See this TurboTax support FAQ for error code you received - https://ttlc.intuit.com/turbotax-support/en-us/help-article/mobile-apps/fix-e-file-reject-f1040-516/...
