Hello All,
I'm sorry to bump an old thread, but I too have had this problem. I did a search and found this post so I thought I would share what I just experienced.
Recently I installed the latest version of Zen Cart. I'm learning as I go along, but things had been going nicely thus far. However, today I am experiencing issues like the OP with the "Who's Online" count bumping up from the same IP.
I read through all the comments and checked everything from the SuHosin to attempting to make a purchase. I am able to make a purchase with the shopping cart emptying post-purchase. Yes, my host uses SuHosin.
I've gone through and tried using Firefox, IE, and Chrome. It ends with the same result of bumping up the visitor count each time I: refresh, click on a link that brings me back to the same site, and keying the website address in.
Last night I had set my site to "down for maintenance" until a few hours ago. Ever since then I had the problem with "Who's Online". Of course after I went through each of the trouble shooting suggestions, I decided to put it back down for maintenance and bring it back up to be live again.
For the time being, it's working as it should. I just thought I would update this post, in case any of you had the same issue after taking the site down for maintenance.
Thank you to the previous comments as they have helped me be a bit more knowledgeable in case the "SuHosin" interferes. :)