Lord William Graham (as he was always known) had an ornamental career in the Guards. In February 1828, when only just of age, he stood in for his absent elder brother during the formalities of the latter’s re-election for Cambridge on being appointed to junior office in the duke of Wellington’s ministry.
The ministry regarded Graham as one of their ‘friends’, and he duly voted with them in the crucial division on the civil list, 15 Nov. 1830. On the presentation of a Dunbartonshire petition calling for parliamentary reform, 26 Feb. 1831, he alleged that it had been ‘carried by a majority of two or three only, notwithstanding ... the most strenuous exertions ... made by the persons who got up the meeting’. He divided against the second reading of the Grey ministry’s reform bill, 22 Mar. He did not attend the county meeting six days later, when an amendment condemning the bill was carried by his supporters,
He divided against the second reading of the reintroduced reform bill, 6 July, but his only other known vote against it was on its passage, 21 Sept. 1831. Two days later he voted against the second reading of the Scottish bill, after presenting a Dunbartonshire petition against the proposal to unite the county with Buteshire (it was subsequently allowed to retain its separate representation). He was absent from the division on the second reading of the revised reform bill, 17 Dec. 1831, but was present to vote against the enfranchisement of Tower Hamlets, 28 Feb., and the third reading, 22 Mar. 1832. His only other recorded votes in this period were against government on the Russian-Dutch loan, 26 Jan., 12 July. He presented a petition for continuance of the duty on foreign tapioca, 11 July 1832. He did not stand at the general election later that year.
Graham received £10,000 on his father’s death in 1836 and became entitled to an annuity of £800 when his mother died in 1847.
