Turbotax never has your W-2. At best, it may have a worksheet that copies the entries from the W-2, but that is not the same level of proof, depending on what the state wants to know. You are responsible for keeping your own tax documents.
You can try getting a copy from your employer, or you can get a "Wage and income" transcript from the IRS that will list whatever they have on file for you. Since the document is more than 3 years old, I believe you have to request it by mail, not online.
https://www.irs.gov/individuals/get-transcript
