Edit menu does not appear on colorbox galleries.

From what I see, that's because your site's theme sets display: block in CSS on all images, forcing them to be alone on their line instead of flowing like text.

When the theme doesn't modify that, images are by default display: inline which would fix your problem, for example by adding .galerie-browser a img {display: inline;} to your theme's CSS file or a custom one if your theme allows it (without having effect on images outside of the galerie thumbnails list, so it won't break anything).
It would also work with .galerie-browser a img {float: right;}, but the first solution seems better to me.

It works for me when I refresh you site, maybe just a cache problem on your browser's side, if you're using Firefox try to refresh while holding the shift key, for exemple.
You only need it in one CSS file - as long as it's included, of course, if you have a separate mobile CSS, you should also include it there for example.

Once again, it seems to work now when I load your site, do you still have the problem after refreshing, emptying your cache, etc?

Thanks, you're welcome :-)

Hmm... you should have a menu appearing when you hover the image.

But I'm now thinking that I have completely forgotten that on colorbox galleries!
I'm sorry, I'm going to address that this evening (hopefuly). I'm renaming this issue to reflect that.

In the meantime, I think the only way to delete images or rename them is to temporarily change the gallery style to "browser".

Fixed!
Sorry it took some time, but it's fixed now, the edit links should appear in the popup, next to the image title.
Tell me if it doesn't work as it should, though, I might have missed something else (though I hope not).

Just update to the latest version and it should work immediately (clear the site's cache if it doesn't, and maybe your browser's cache).

You're welcome :-)