That link is about folks who actually did those things and want to bury things that they think a future employer may find objectionable.
In this case, someone is making shit up and defaming someone.
The person asking this needs to have his wife sue. Do not pass go. Go directly to lawyer.
Actually, the example in the article is about a girl that had a common name that was returning search results that were not about her.
"From the article: "Samantha Grossman wasn't always thrilled with the impression that emerged when people Googled her name. 'It wasn't anything too horrible,' she said. 'I just have a common name. There would be pictures, college partying pictures, that weren't of me, things I wouldn't want associated with me.'"