know for a fact it does work w/WWL. How do I know this? Because I've already used it.
Very surprised to hear this.
If I knew how to copy it from the laptop to the desktop would have already done that, but can't locate the file anywhere.
The icon folder is most likely in your Windows user profile's Application Data folder. Do a seach on your laptop's hard drive for 0.gif or any of the other weather icon names and you should be able to find the icons you have. Then zip the folder up and email it to yourself. On the desktop open your email, save the file then unzip it to the corresponding location on it's hard drive.
Or if you prefer, copy the folder to a USB drive then read the USB on the desktop and copy the icons to the desktop's hard drive.