[1] He was the eldest son of Arthur Jones-Nevill, MP for Wexford Borough in the Irish Parliament, of Furness, County Kildare and was educated at Kilkenny School and Trinity College, Dublin.
On his father's death in 1771 Nevill took over the latter's Wexford seat, representing the borough until Ireland became part of the United Kingdom in 1801.
He was appointed High Sheriff of Kildare for 1773–74.
He continued to represent Wexford Borough in the UK Parliament from 1802 to 1806, from 1807 to 1810, from 1811 to 1813 and from 1814 to 1819, alternating with other representatives on account of his age and health.
Furness was left to daughter Marianne, who sold it to the Beauman family.