He held a number of public appointments, namely Commissioner for Assessment for Cornwall (1663–1680), for Devon (1673–1680) and for Hampshire (1679–1680), Deputy Governor (1670–1672), Assistant Governor (1678–death) and Deputy-Lieutenant of Cornwall (1670–death) and of Devon (1676–death) and Commissioner for Recusants for Cornwall (1675). He was High Sheriff of Cornwall in 1685. He was a Member of the Society of Mines Royal (1669). He was elected a Fellow of the Royal Society in November 1676 but expelled in 1685.[2]
He died aged 48 leaving his 2 sons and 6 daughters.[1] He had married Anne, daughter of Edward Montagu, 1st Earl of Sandwich and Jemima Crewe. Their son Richard Edgcumbe was created Baron Edgcumbe. They also had a daughter Anne who married Henry Pyne, a wealthy landowner of an established County Cork family.
Richard's widow remarried Christopher Montagu and died in 1729. Her mother – the much loved "my lady" of Samuel Pepys – spent her last years at Mount Edgecumbe and is buried there. In his Tangier Journal Pepys records a visit to Lady Edgcumbe on 22 August 1679: "She received me extremely kindly. Visited her house and garden and park, a most beautiful place".