It sounds like you e-filed, so you will need to print out a state form required to mail in with your name change form. To find out what state form you need to include, and where to mail the forms, go back to your State Tax Return PDF. The first page of your state return will have all of the instructions you need.
To get back to your State PDF, here is a link https://ttlc.intuit.com/questions/2670586-can-i-print-later - it is about printing, but you can also access and view the PDF with these instructions, so you're good.
