My computer automatically put in my mothers name and now I cant seem to go back and change it. How can I put my own name in once I have started? Can I go back and edit?

If your mother's name has been entered automatically it can be because of 2 things. 1- you transferred her information from last year's return into the 2019 return or you are filing under her account name.

If you are using TurboTax Free Online version and are signed in to your mom's account, you will need to start your return from scratch entering your name and information.