Dysart is a town and former royal burgh located on the south-east coast between Kirkcaldy and West Wemyss in Fife, Scotland. Dysart was o…Dysart is a town and former royal burgh located on the south-east coast between Kirkcaldy and West Wemyss in Fife, Scotland. Dysart was once part of a wider estate owned by the St Clair or Sinclair family. They were responsible for gaining burgh of barony status for the town towards the end of the 15th century.