Multiple Sessions Issue - site goes down because of "open sessions"

I have seen this issue and have a friend using zen that keeps having her store go down because of "open sessions" Could AOL's session handling and the site crashing be inter-related. At the time her site went down no one but me and her were on it or even know it exists and we were the only two browsing it. She is using AOL which is infamous for creating a new session with every click so I was wondering if AOL could be the culprit although I have seen other browsers open multiple sessions as well and some of them don't seem to be closing right. Next thing we know her site went down with a too many connections error. She called the host and they said she had too many open connections and that they would clear them out. I ASSUME that it is due to AOL opening multiple sessions and then those sessions not closing as they should.

Does anyone have any info to shed some light on this issue or does anyone know whether my train of thought is right or not??