My website is created using hand typed HTML code in a simple text editor. I have not tried using any website creation software such as WordPress.
I do not understand why you are talking about DNS records.
The instructions I followed were all on Google's website after I signed in using my Google account.
(Post Script: I removed the Google AdSense code after a few months when I realized I would never reach the $100 (U.S.A.) minimum earnings that Google required before they would issue me a cheque.)