Capo Dukato

... they changed its name to Leucas, which was named, as I think, after Leucatas; for Leucatas is a rock of white color jutting out from Leucas into the sea and towards Cephallenia and therefore it took its name from its color. It contains the temple of Apollo Leucatas, and also the "Leap," which was believed to put an end to the longings of love.

All of this is happening on Apollo's Day, the day for the people of the city, for the families and the rites of birth, marriage and adulthood. So, there is a third party and they are the citizens of Ithaca. It is the day to honor the god Apollo, but were did they go to? To a sacred place dedicated to Apollo? Is there such a place on this island? Yes, there is! It is the temple of Apollo, or what is left of it.

Geographica Book 10.2 chapter 9-10 Strabo

Vasiliki

The temple of Apollo is at Capo Dukato

Cephallenia

Agios NikolaosNiras

That is in the same area! Laërtes farm is also situated on the 'rock of white color jutting out from Leucas into the sea and towards Cephallenia'. The remains of the temple can be found at the very tip of the penninsula called Capo Dukato.
That is where the lighthouse is.

Capo Dukato

The lighthouse is at Capo Dukato

Strabo wrote about the island 2000 years ago that, after the Corinthians digged the canal between the island and the mainland around 700 BCE: