A Google for Limekilns gets many hits including this rather odd one:
http://www.limekilns2.freeserve.co.uk/limekilns/main.htm
Not so odd, really. Lime had two main uses: for spreading on the land to improve fertility, and for making traditional mortar. The village of Limekilns exists because there is an important outcrop of limestone there, which was worked for hundreds of years. There are lots of other lime kilns all over the place, where lime could be worked and often at the coast, where it could easily be transported by sea to wherever it was needed.
See
www.scotlime.org if you want to know more about traditional lime mortar. Charlestown, where the workshops are, is right next to Limekilns.