Weddell was recommended to Hull in 1766 by Rockingham and Sir George Savile, and returned unopposed. In Parliament he consistently followed Rockingham. There is no record of his having spoken in the House.
In 1768 there was a contest at Hull, and Weddell came out head of the poll. But by 1774 his popularity had declined: at the request of the merchants, who disliked the ‘great idleness and disorder’ of the races, he had ceased to subscribe, which had offended the poorer voters; and his ‘want of activity’ had displeased his friends.
He voted against Shelburne’s peace preliminaries, 18 Feb. 1783, and was classed by Robinson as ‘Cavendish’. He was unable to attend on Fox’s East India bill because of illness,
He died 30 Apr. 1792.
