Athanasia's home is amazing! When we got off the ferry we found a taxi driver who called her and learned the address. It's a 10-15 minute drive south of Naxos town and easily accessible by bus.
Athanasia met us at the front door and showed us around, complete with local wine and cheese. The house is perfect for a 4 person family with a bed for 2 adults and 2 twin beds for kids. The location is wonderful - a few minutes to the beach and even closer to restaurants, cafes, and a supermarket. We didn't rent a car but from the looks of it driving and parking are challenging. I'd recommend walking into a tourist office and booking a half day or full day tour of the island with a driver or guide.
Naxos is a great place!