lol, almost. The FB link doesn't look to be public (you maybe able to just adjust the security on that or the album to public) and the picasa link... hmm tough call but neither are links to 'image' file types (like .jpg). Are you rightclicking the image and selecting 'copy image location' or something like that?
I really like imgur.com. Don't even need an account, just drag and drop an image and then copy the link.