Acheson was returned for county Armagh in the last Irish parliament and voted against the Union, 22 Jan. 1800, unlike his father, who declined an earldom both then and in 1803.
Acheson’s father accepted an earldom from the Grenville ministry in February 1806 and their comment on Acheson was: ‘will support, and to be supported’. In January 1807 he succeeded to the peerage. He expected great things of the Portland ministry, which certainly toyed with the notion of placing his brother Edward at the Irish treasury board:
