Q: Why is Mac Mail giving me "Unable to verify account name or password" with gmail?

Hi, dminock.  

Thank you for visiting Apple Support Communities.  

I understand that you are unable to add your Gmail account to Mail on your Mac.  This could be related with the security feature known as two-step verification offered by Gmail.  I would recommend going through through the steps below.  

Get more help

If you have 2-Step verification enabled on your Google account, you'll need to generate an App Password to use with your iOS Device.

 

For more help sending or receiving Gmail, follow this Google support article. You can also visit Google support articles for downloading and sending mail.

Gmail account cannot get or send email

If you can’t send or receive email on your Mac

-Jason H.