The original, and somewhat debunked, theory is that they were creatures from the Void. They were not physically thrown down the cliffs of the Howling Abyss, but rather banished back into the Void itself. This theory also states that behind the gate on the purple side of the Howling Abyss map is a closed portal to the Void.
I don't remember most of the details supporting the theory, but the artwork surrounding the Watchers and that side of the ARAM map was a big part of it. That was, of course, back when the old lore was already fading. It's possible Riot had already begun planning the new lore at that time, so it's possible we won't have any reliable sources until the next Freljord story that specifically covers Lissandra and either her history or her future plans comes out.