@dynamicduo, put your ‘My Name’ in the metadata tags for the MyName.com site, and it’ll come up. Or just put your name (invisibly, if you want) as the first thing on the index page. I did that in a font color that matched the background.
The only time I saw an unwelcome reference in a hit on my name was a borderline libelous posting by an acquaintance. He thought was humorous, but a stranger (such as a prospective employer) would have read it as an accusation of wrongdoing. I had to ask him several times to take it down, but finally he did.
The one huge surprise was to find some fictitious statements I’d written for an invented character as a hoax, posted on my website with plenty of clues that it was fabricated, cited as an authoritative reference for someone’s position on a serious philosophical website. I laughed until I hurt and my husband thought he was going to have to call 911.