Hope was serving with the 17th Dragoons in Ireland in 1790 when he obtained leave to attend the Linlithgowshire election in which, sponsored by his future brother-in-law Henry Dundas, he defeated the Whig sitting Member, Sir William Cunynghame. He could be counted on to support Pitt’s government. On 10 May 1791 he either voted with the majority against the exemption of Scotland from the Test Act or was absent, hostile. He served at Gibraltar in 1792 and in the West Indies in 1793. On 9 Feb. 1795 he again sailed for the West Indies as adjutant-general under Sir Ralph Abercromby, who thought highly of his services. He was reelected in absentia in 1796 and returned home in 1797, but made no mark in Parliament: it was less likely he than his half-brother Alexander who denounced Jacobinism in debate, 19 Apr. 1799. That autumn he was adjutant-general in the expedition to Holland, the Duke of York thinking him ‘an exceeding good officer’. When about to serve in the Mediterranean under Abercromby in the same capacity, he vacated his seat in his brother Alexander’s favour.
Hope distinguished himself in the Egyptian campaign, in which he lost the forefinger of his right hand. He twice obtained the thanks of the House for his services, 18 May, 12 Nov. 1801, and was put up by Henry Dundas in his absence for the county of Fife in 1802, to the annoyance of the prime minister, Addington. Hope afterwards assured Dundas ‘that the representation of Fife was not an object to which I was called upon to look, by any motives arising, naturally, but of my relative situation in life’. He pointed out that he was ‘no party’ to the arrangement, wished to be free of it and asked Dundas if he could not ‘a little moderate the conclusions to which your habits and temper of mind naturally lead’.
