Here is a way that might work:
Visit the site you want the logo of and right click on the logo and do
"Save Picture as..." .gif is probably as good as any.
Next you need an icon editor, IconCoolEditor is a pretty good program
costing $19.95 which can be obtained at
http://www.iconcool.com/
Build your logo icon and then click on the I.E. "E" and do a change
icon.
BTW you get a 30 free trial of IconCoolEditor.