@Just*Ace my MIL did something similar to the bauble idea - baubles hanging over a window with slatted blinds. She used thumbtacks along the top of the window frame and then hooked the fishing line/ribbon around the thumb tack. You could also pin them to the back of your curtains... So have them hanging down as you described, but have the fishing line go over the top of the curtains and then just pin on the other side. That way no one will be able to see!
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