Strathaven is a historic market town in South Lanarkshire, Scotland and is the largest settlement in Avondale. It is 7.5 kilometres south of Hamilt…Strathaven is a historic market town in South Lanarkshire, Scotland and is the largest settlement in Avondale. It is 7.5 kilometres south of Hamilton. The Powmillon Burn runs through the town centre, and joins the Avon Water to the east of the town.