Final answer:
In the passages given, Gil-Dong, not Gawain, finds refuge at a house on a ledge and later in a secret open plain inside the mountains.
Step-by-step explanation:
Gawain, a character often associated with Arthurian legends, unfortunately does not appear in the passages provided. Instead, the character Gil-Dong finds refuge during his journey on two occasions. Initially, he discovers a house on a ledge of rocks after following a light, which turns out to be a den of robbers where he rescues a young lady. Later, Gil-Dong finds shelter within an open plain surrounded by mountains after passing through a huge stone door in the wall of rock. This secret area houses over two hundred dwellings and appears to be a secluded society isolated from the outside world.