In 1694, at the age of 14, he succeeded his brother, Piers Edgcumbe, to the family estates. He was admitted at Trinity College, Cambridge in 1697 and travelled abroad travelled abroad in 1699. Edgcumbe was returned unopposed as Member of Parliament for Cornwall at a by-election on 25 June 1701 but never took his seat as Parliament had been prorogued. At the general election later in 1701, he was returned unopposed as MP for St Germans. He was elected MP for Plympton Erle at the 1702 English general election, probably on the Treby interest. He was re-elected at the 1705 English general election in a contest, and voted for the Court candidate as Speaker on 25 October 1705. He was returned as a Whig at the 1708 British general election, and was several times a teller for the Whigs. Although absent from the vote on the impeachment of Dr Sacheverell, he was attacked by the mob supporting Dr Sacheverell in Cornwall. He was returned again at the 1710 British general election but his behavior in parliament appears contradictory. He was however to be one of the leaders of the great Whig procession through the City of London, which was banned by the government. He voted for the motion ‘No Peace without Spain’ on 7 December 1712 and divided against the French commerce bill on 18 June 1713. He was returned again at the 1713 British general election, and voted against the expulsion of Richard Steele. At the 1715 British general election, Edgecombe was returned unopposed as MP for Plympton Erle. He was appointed lord of the treasury in 1716. He surrendered the post when he went into opposition with Walpole in 1717, but was re-instated in 1720. He was returned again for Plympton Erle at the 1722 British general election. He held his post at the Treasury until 1724 when he was appointed Vice-Treasurer of Ireland, a post he held until 1742. He was returned again at the 1727 British general election, and was appointed a Privy Councillor for Ireland on 28 November 1727. At the 1734 British general election, he was returned as MP for Plympton Erle and Lostwithiel and chose to sit for Lostwithiel. He was Lord Warden of the Stannaries from 1734 to 1747. He was elected again for Plympton Erle at the 1741 general election and sat until he was raised to the peerage in 1742 and vacated his seat in the House of Commons. Edgcumbe was a faithful follower of Sir Robert Walpole, in whose interests he managed the elections for the Cornish boroughs, and his elevation to the peerage was designed to prevent him from giving evidence about Walpole's expenditure of the secret service money. In 1742 he was appointed Lord Lieutenant of Cornwall and Chancellor of the Duchy of Lancaster, which posts he held for the rest of his life, He became a colonel of a regiment of foot in 1745 and became major-general in 1755. He was appointed Chief Justice in Eyre, north of Trent in January 1758.
Marriage and children
He married Matilda Furnese, a daughter of Sir Henry Furnese, 1st Baronet, of Waldershare in Kent, by whom he had four children, including: