Final answer:
Yes, in the Wife's Lament the female speaker does end up living in a hut.
Step-by-step explanation:
In the Wife's Lament, the female speaker does end up living in a hut. This can be seen from the excerpt: 'In many cases, a house of this type is a haven of last resort. The girls have been wronged by some man and cast out from home. It is either a place like this or the river for them... After a while they began to have hopes, and no girl who has hopes wants to stop in a place of this type forever, no matter how well it is run and how congenial the surroundings.'