Born at Murrayfield House west of Edinburgh's Old Town on 11 May 1736, he was the son of Archibald Murray of Cringletie, an advocate.
On 24 May 1775 Murray was appointed solicitor-general for Scotland, and at the general election in September 1780 was returned to the House of Commons for Peeblesshire.
The only speech he is recorded to have made in parliament was in opposition to Sir George Savile's motion relating to the petition of the delegated counties for a redress of grievances.
[1] He is buried in St Cuthberts Churchyard in Edinburgh, beneath a huge monument, to the north side of the church.
Henderland was joint clerk of the pipe in the court of exchequer, an office which, through the influence of Lord Melville, was subsequently conferred on his two sons.