Telemachus
journeyed by chariot to and from Nestor's palace in Pylos to the
palace of Menelaus in Sparta. He was accompanied by Pisistratus, the
son of Nestor (page 122, lines 530 ff.). On the way, they stayed
overnight in the halls of Diocles in Phera (page 123, lines 545-49),
and reached Sparta the next day.
Notice that Telemachus does not sail back to Ithaca by
the same route used when he left: he had left from a port on the NW
tip of the island (in Polis Bay), but Athena had advised him in a
dream that the suitors were lying in wait for him "in the straits
between Ithaca and rocky Same" (Book 15, page 320, lines 32-42).
Thus, in accordance with her instructions, Telemachus brings his ship
in to a port on the southernmost tip of the island. In this way, his
approach is invisible to the suitors stationed (hypothetically) at
Fiskardo on Kephallenia.