Your post doesn't indicate whether you used TurboTax Online or the Desktop (CD/Download) software. I'll share with you the TurboTax FAQ that explains how to e-file your state return if you first filed the federal alone (using TurboTax Online). In TurboTax Online, there is no additional charge to e-file either your federal OR state return. NOTE: You'll have to wait until your federal return has been accepted by the IRS.
How do I e-file my state after I already filed my federal?
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*** I am NOT a tax expert. I am a seasoned TurboTax user, and volunteer to provide assistance to TT users. Nothing I post is to be considered TAX ADVICE; I bear no legal liability for responses.***