This article at CSS-Tricks should help clear up some of the icon graphics confusion when working on websites, especially mobile friendly one.
Favicons, Touch Icons, Tile Icons, etc. What All Do You Need?

I use to have a program that I used to refresh my favicons for IE, but no such program that I know of exists for chrome so those icons don't get updated unless I actually visit the website (and I have a lot of favorites that I should clean up since I don't visit often if at all; I do have one place that I visit that doesn't have a favicon for that site and I forgot how to create a custom one; lol).

I also have forgotten how I made a couple custom favicons...it's been a couple years since I did it.