At the general election of 1774 Neville was returned for Grampound, which had been put at the disposal of Administration by Edward Eliot at a cost of £2,000 a seat. In Parliament Neville seems generally to have supported Administration; he does not appear in any of the minority lists, 1775-8, and on 31 Oct. 1776 (in his one reported speech before 1790) moved an Address commending the Administration’s American measures.
When at the general election of 1780 Edward Eliot, now in Opposition, refused to re-elect Administration supporters, Neville was returned for Buckingham on the interest of his brother-in-law, Lord Temple; but having political disagreements with Temple,
Braybrooke (as he became in 1797) died 28 Feb. 1825.
