I can only see a facebook friends profile when they are online?

[Jane B]

I am only able to see a facebook friend's profile when they are online. I am not able to see them on my friend list either to remove them, message them, ect. I cannot find them when I search for them either.

In the "you may know this person toolbar" on my other friend's facebook, it says that I am friends with that person. But I cannot find them, unless they are online.

Is there something I am missing?

Thanks
I am abosolutely positive that I am friends with this person. As I had mentioned before, this person is showing up in the "you may know this person" toolbar on another friends account. And it lists me as a friend of the person.

I have tried looking through all the privacy settings, and have tried researching this problem. I have not heard of anything like this before.
Yes, I should explain that from time to time I view my Friends online list. That is the only time the friend appears in my friends list, and from there I can click on their profile to view it. When they go offline, I can no longer view their profile, I can't see them on my friends list and I cannot search for them.