How to get facebook pictures off google?

[Sunshine]

I image google searched my name to see what would come up, and I found images with inappropriate sayings. These pictures are from a fan page that one of my friends (my cousin) likes&follows on facebook so I guess since I'm on her friend's list and her wall and friends is probably on public, those images pop up? I feel bad if I delete my cousin, but still - it just looks really really bad to have those images under the search..especially since I'm trying to start my career soon..I know there's nothing to do with me in the pictures, but I feel paranoid about it I guess... Is quitting facebook the only way?

My timeline is on private, but is it just me, or has facebook taken out the option to hide yourself from public search?

It only says:
"Who can look you up with the email your provided?"
"Who can look you up with the phone number you provided?"
and
"Do you want other search engines to link to your timeline?"

But it doesn't have anything about taking your name off THEIR search.
My whole profile is on private, so I don't understand why this is happening. I've had my profile disabled on search engines too.