Holdsworth, whose career as Liberal MP for Wakefield was curtailed when he was unseated on petition, was a prosperous and ‘much respected’ local dyer.
In 1831 Holdsworth served as constable of Wakefield, a position of prominence in local public life.
Holdsworth does not appear to have spoken in the Commons, nor did he serve on any committees. He did, however, vote on a number of occasions, dividing with his party in opposition to the sliding scale on corn, 16 Feb. 1842, and to the income and property taxes, 13 and 18 Apr. 1842. He was in the minority for inquiries into the constitution of the Church of Scotland, 15 Mar. 1842, and into Gilbert Unions, 17 Mar. 1842. Although he entered the same lobby as Cobden to support Ward’s motion for a committee to consider whether there were any particular burdens on the landed interest, 14 Mar. 1842, he did not, as he had explained to a meeting at Leeds the previous December, favour total and immediate abolition of the corn laws (although he condemned them as ‘not only bad but wicked’), but rather a gradual relaxation. At the same meeting, Holdsworth noted that he himself farmed some land.
Following his unseating he continued to play a leading role in Wakefield politics and became one of the chairmen of the Wakefield Liberal Registration Association in 1844.
Having been in declining health for two years, Holdsworth went to Leamington early in 1857, where he died six weeks later.
