She was transported to a local hospital where she is receiving medical treatment.
Residents who are unable to stay in their houses are being transported to temporary housing on a football field in nearby Polichnithos, the mayor added.
At least 10 people were injured in the village, many of whose roads were blocked by rubble. The fire service says it has no reports of further trapped or missing people. Rescue workers successfully rescued an elderly couple from their badly damaged home in the village.
Hundreds of homeless residents spent the night in a makeshift camp set up by the army in a soccer field before moving in the morning to hotels or to the homes of relatives.
No news of damage or casualties have yet been received. Most of the refugees come to the two islands via Turkey.
The natural disaster was felt in the Turkish coastal city of Izmir, about 200 miles from Istanbul, and in the provinces of Canakkale and Bursa. Many residents of the city were scared by the trembling and ran outside of buildings, anxious that they might collapse.
Turkey’s Disaster and Emergency Management said that the quake was in the Aegean Sea at a depth of seven kilometers (more than four miles) and hit at 3:28 p.m. (1228 GMT).
An quake on the Greek island of Lesbos has left one person dead and a further 10 injured.
At least 20 aftershocks, following the quake, were recorded.
Major geological fault lines cross the region and small earthquakes are common, though anything higher than 5.5 is rare and capable of causing extensive damage.