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In the New Testament, the Lord sent a blind man to wash in the pool of Siloam, and he was healed. The wathers of Shiloah must have been a commonly known geographic location, for it is referenced a few times (John 9:7,11). I imagine it was a peaceful place.
Isaiah is using an analogy of bodies of water. Because Judah has rejected Jehovah ("the waters .. that go softly"), they will be flooded with a river (Assyria) that will overflow its own boundaries and cover the lands.
I like the way he describes it:
It is interesting to note the differences in punctuation in 2 Nephi 18.
I wonder why he says "even the king of Assyria and all his glory." Why does he mention the king, and not just the nation? Was he a notorious leader?