“Who can look up your Timeline by name?” Anyone you haven’t blocked. Facebook is removing this privacy setting, notifying those who had hidden themselves that they’ll be searchable.
Now if you use Facebook for business, this is a good thing. I suggest that you want to be searchable. So go optimize…
If you’re under a witness protection program… it may not be wise to be online under your real name and persona.
To control whosee what go check your various settings…
To my Family members my timeline is public so if you want pricacy use the family group. or set who sees your posts or conmments to only friends.
To my "friends" who have a somewhat more colorful taste… Remember you can set who sees individual post and some of you may want to consider the "only me" option (under the publicity tab at the bottom of the share window… no need to publicize your fetishes especially if you also use it for business just saying!
Finally head to your about on your page click edit and check the settings
See on techcrunch.com