[Rzarcasm]

I don't think there's any way to trace someone from their timeline page. There are many scam sites who have people claiming can do this for money but those are scam. There was a exploit in the Facebook password recovery beta page but now it's fixed.

Essentially you need to do doxing or social engineering. You need to chat with the person and send them a hooked link with a script which grabs the client IP. Then if you can get them to click the link/run an application, you can have their IP and look it up for exact location.

This is highly illegal and a jail able offence.

This is true, only attempt to perform this activity if you are legally allowed to, ie. a child or family member. I doubt that you would be able to successfully collect an IP through Facebook due to their security infrastructure. They are very precise when it comes to protecting their users on their network. I would not feel safe if people could just willy-nilly find my IP address anytime they wanted to through Facebook, that poses serious threats.

While Facebook logs whatever IP and location you are at, it is for that users eyes only. In which, I am glad that this is a feature to cipher out anyone that is not supposed to be there in the first place. Be careful, because there may be other means of finding the person.