I can help, that's the intention in the following words. (Crosses fingers, prays to mythological supreme being and buys lottery coupon..)
Once I'm home I shall try to upload some helpful images and will try to explain how to retrieve your "Favicons" if I'm right in assuming that it's those which have gone AWOL.
OK,
experimental treatment trial subjects passengers due back in a few minutes, must away for now.
Right, so back at it for now, is this - below these words - the list of icons that you've lost, GHT?
Please excuse the fact that it's a photograph and not a screen grab. I tried to do the latter, but the drop down list disappears when I bring the screen grabbing icon into view on the dock at the bottom of the screen, the artefacts are a result of the MintBook's screen being blessed with a refresh rate of a mere 60Hz, so the scanning is slower than the camera shutter, which then shows the motion in the form of the lines, just be grateful that there are 819 of those and not the 405 we'd have been stuck with in the days of Black & White vhf tellies! Aye, so anyway, if the tiny images by the left side of the bookmarked sites is what you referred to, then we need to click on the icon at the far right of the browser screen, a line or two from the top depending upon what other things are set to display up there on your device.
Fortunately, I was able to grab that so no lines visible in this image, the three lines are visible, far right, about an inch from the top on this 13 inch screen, size of your display unkown but you'll see what I mean, then click on the three wee lines:
When you click on that three lines, you get a drop down menu (apologies again, this too has to be a photo rather than a screen grab), seen below:
Oh bumhats! Forgot to change the wide angle lens for one of the others found in this damned unfathomable modern gadget, not the camera's fault, mine
but at least this time I remembered to use the facility that removes the scanning artefacts. Let me know if it's not sufficiently readable, I can take another as so far, no more hospital runs or script drops have come my way and I - and the real life Tonka Toy - look likely to have a day off, I'd forgotten what that meant!
So, once you click on the line I'm pointing at with a pen "borrowed" from my late Dad's collection of free holiday souvenirs
,you should see the screen that appears below - a screen grab this time as your eyes will be pleased to see..
And from that list on the left, select "Extensions"..
Then click on the extension called "Checkmarks", which will scan your bookmark list, replacing any favicons (the tiny images lost in space..) with current ones where they are available for the sites on the list. The wheel & tyre favicon that Terry uploaded for the forum is no longer with us, much like the man himself, but most will reappear. In the event of your not seeing Checkmarks on the list, search in the "find more extensions" box a wee bit further up the screen, then download the extension and it will explain how to progress from there once you have it installed.
That should sort you out, if it doesn't, please let me know and I'll offer alternative ideas 'til we get there!
I'm off for a lie down in a darkened room now!