Wrong Favicons in Firefox
Solution 1:
Close firefox, delete %AppData%\Mozilla\Firefox\Profiles\<your profile>\favicons.sqlite
This is easier to do than peqhusus's solution, but it does mean you'll lose all cached favicons and have to reload your bookmarks to get the icons again.
Solution 2:
This may not be the best solution if you are only slightly annoyed...
What I usually do when this happens is go to
Bookmarks --> Show All Bookmarks --> Import and Backup --> Export Bookmarks to HTML file
Then open the bookmarks file, find the corresponding bookmark entry, then change
ICON_URI="{URL}" ICON="data:image/png;base64,{data}
to the URL of the icon and the base 64 encoded icon in png format
Then import the modified bookmarks file back into Firefox