He was born in
Glassford (possibly at Glassford Castle) in
Lanarkshire around 1700, the son of Alexander Wedderburn. His paternal grandfather was
Sir Peter Wedderburn, Lord Gosford. He is presumed to have studied law at the
University of Edinburgh. He passed the Scottish bar as an advocate in February 1715. He became an
Assessor in Edinburgh and then Secretary to the Excise. He acquired the estate of Chesterhall near
Gladsmuir in
East Lothian. He also bought a large mansion on Elphinston. He became a Senator of the College of Justice in the summer of 1755, replacing
Thomas Hay, Lord Huntingdon. He died at Chesterhall on 11 August 1756. He is thought to be buried nearby in Gladsmuir churchyard. His place as Senator was filled by George Brown, Lord Coalstoun. ==Family==