(Antinoös:) And here is another stratagem of her heart's devising. She set up a great loom in her palace, and set to weaving a web of threads long and fine. Then she said to us: "Young men, my suitors now that the great Odysseus has perished, wait, though you are eager to marry me, until I finish this web, so that my weaving will not be useless and wasted. This is a shroud for the hero Laertes, for when the destructive doom of death which lays men low shall take him, lest any Achaian woman in this neighborhood hold it against me that a man of many conquests lies with no sheet to wind him." So she spoke, and the proud heart in us was persuaded. Thereafter in the daytime she would weave at her great loom, but in the night she would have torches set by, and undo it. So for three years she was secret in her design, convincing the Achaians […]. (2.93-106)
Okay, it's not as heroic as lashing herself to a mast, but sitting and re-weaving the same few inches of shroud day after day must have taken Penelope a lot of dedication.