The Hon Peter Wedderburn, Lord Chesterhall (c. 1700–11 August 1756) was an 18th-century Scottish lawyer who rose to be a Senator of the College of Justice.
His paternal grandfather was Sir Peter Wedderburn, Lord Gosford.
[2] 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.
His place as Senator was filled by George Brown, Lord Coalstoun.