In Homer, Icarius is Penelope’s father, a Spartan who reluctantly let her marry the king of a smaller western kingdom and wanted her home after Odysseus failed to return. The suitors press her to remarry partly because Icarius wants her to. The retelling cuts him entirely. Penelope’s family of origin gets no airtime. The shroud she is weaving is for Laertes, her father-in-law, not for her own father, which keeps the loom drama inside the household she lives in. She is a queen who answers to no one but herself, which is the version the retelling needs: the mother holding the kingdom alone, not a daughter being pressured by a distant father back in Sparta. A clean omission that simplifies the politics around her.
Icarius
Canonical Homer. Penelope's father. The Spartan whose daughter married Odysseus and who never gets her back. Cut from the retelling.