Good news! It took another couple of hours, some more Internet crawling and an email to GOG to find out where the Botanicula game places its Saves, so I could drag the file there. (No, it wasn't as simple as looking in the game's program folder. lol)
Anyway, I am thrilled to be able to go on with the game now, instead of wanting to remove the disk and use it to scrape my BBG grill. Thanks everyone. 'Boomers comes through again!