Shaw, whose Scottish family had moved from Hampshire to county Kilkenny in the late seventeenth century, was the son of a prosperous Dublin merchant and minor government official. He followed his father into commerce and was elected a member of the common council of Dublin, but he declined the office of sheriff in 1797, paying a fine of 300 guineas, and served as a sheriffs’ peer until chosen an alderman in 1808.
Shaw was criticized for being too indolent on constituency business and too close to the Liverpool administration, which in 1820 appointed his son and namesake to the position of accomptant-general of the Irish post office, in which his late father had served as comptroller. Yet he was not in the end challenged at the general election that spring, when he promised to press for lower (especially local) taxation and was again returned with his ailing colleague, Henry Grattan.
He voted against censuring ministers’ conduct towards Queen Caroline, 6 Feb., and stated that the sheriff of county Dublin had been ‘indiscreet, but not corrupt’ in forcibly closing the county meeting on this issue, 22 Feb. 1821. He voted against repealing the additional malt duty, 3 Apr., reducing the grant for the adjutant-general’s office, 11 Apr., disqualifying civil officers of the ordnance from voting in parliamentary elections, 12 Apr. 1821, and abolition of one of the joint-postmasterships, 13 Mar. 1822. He unsuccessfully moved to repeal the Irish window tax, 16 May 1821, and gave notice that he would repeat the attempt, 28 Feb. 1822, when, as on several other occasions, he brought up a hostile Dublin petition; on 24 May he expressed his pleasure at government’s decision to abolish it.
He was again named to the select committees on Dublin taxation, 8 Apr. 1824, 23 Feb. 1825. He continued to bring up numerous petitions from his constituents, such as one from the chamber of commerce against Ellis’s Dublin coal trade bill, 5 Apr., although he acquiesced in the second reading of this measure, 13 Apr. 1824. Showing how he could occasionally busy himself with mercantile legislation, he was a majority teller against amendments to the Irish Equitable Loan Society bill, 1, 9 June, and secured its third reading, 10 June.
Shaw, who had long been criticized for being inefficient and insufficiently Protestant, declared his determination to stand at the following general election, despite the likelihood of his being opposed by a man of greater commercial expertise.
