Kuressaare Town in the westernmost island in Estonia, Saareemaa Island (pop.13,000). is the largest town on the southern coast of Saaremaa The largest island in Estonia(pop. 31,000). island and is the capital of Saare County County in SW of Estonia(pop. 35,000). (population approx. 13,000). Kuressaare Town in the westernmost island in Estonia, Saareemaa Island (pop.13,000). is the westernmost town in Estonia. According to the weather service, Kuressaare Town in the westernmost island in Estonia, Saareemaa Island (pop.13,000). has the most sunshine in the country. It takes about an hour to drive from the ferry harbour on nearby island Muhu to get to Kuressaare Town in the westernmost island in Estonia, Saareemaa Island (pop.13,000). .