I guess your service provider is AOL. I tried accessing the internet from a friend's computer through AOL and their proxy server system or whatever it is drove me up the wall. You should be able to go direct by pasting this url into the address line http://www.ybw.com/forums/postlist.php/Cat/0/Board/ym/page/0 (if you click on it, you may still have uncle AOL holding your hand).
That graphic is a standard file held on the home directory of any web site that chooses to have its own icon.....
It looks like AOL automatically change it for their own icon through their own caching/filters/content distribution systems.... suspect its nothing to do with the browser, rather your service providers infrastructure
AOL have a history of mucking about with content/accessability to suit their own agenda......
One of AOLs webcaches may have got confused and dished out the wrong favicon.ico - or his browser is confused. A myriad of reasons why other AOL users don't see the same thing. A shift+reload may help.
I don't use windows - does "branding" allow the brander to override all favicons for all websites?
branding can be pretty horrific, though most providers have toned it down these days.
You used to have things like 'Outlook, provided by Freeserve' and Internet Explorer, provided by Freeserve' stuck on top of bars, favourites lists with huges lists of providers links inserted etc etc, and you had to use automatic installers, so all this done for you, as they wouldn't hand out manual settings.