You will need to login to your account through TurboTax online in order to change your account information. 

Changing your email address yourself saves time. Here's how to do it:

1. Sign in to your TurboTax Online account.
2. Select Intuit Account in the lower left corner.
3. Click Edit at the right of the Email address line.
4. Enter your new email address and confirm it.
5. Enter your password.
6. Click Save and you’re done.

If you no longer have access to your email address and are unable to login to your TurboTax Online account, please complete the Account Recovery Request Submission Form.

Related Information:

• Forgot your TurboTax Online User ID or password?
• How do I update or confirm the info in my TurboTax Advantage account?
• Account Recovery Request for your TurboTax Account

Source: TurboTax FAQ

I have followed he steps provided to change my email address however it continues to ask me to verify my account 

You can have the verification code texted to your mobile phone if you no longer have access to your email. Please see How do I get a verification code if the email address is wrong? for instructions.

@anniceasorrells1