We've spent few days in Ortigia in Francesco’s flat. It's in a great location with walking distance to every part of the island.
Ortigia is a really beautiful island and we had a great time walking around the place, enjoining the views and food ... definitely visit the main market as it's really worth the visit.
Unfortunately the flat is a bit rundown and requires some attention and renovation effort from Francesco to bring it up to it's previous status.