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 sembled there. Ludlam escaped capture by the dragoons, who dispersed the rebel band on 10 June, but was arrested later on, and tried for levying war against the king by the special commission at Derby. His counsel attempted to show that he was only Brandreth's dupe, which seems to have been true, and that his offence amounted to riot only. But he was found guilty, and executed, in front of the county gaol, Derby, on 7 Nov. His sons pleading guilty, the crown prosecutor declined to offer evidence against them, and they were discharged.

 LUDLAM, THOMAS (1727–1811), theologian and essayist, born at Leicester in 1727, was younger brother of William Ludlam [q. v.] He graduated B.A. at St. John's College, Cambridge, in 1748, spent some time as chaplain in the navy (he was on 31 May 1750 appointed chaplain to the Prince Henry, ‘Admiralty Minute Books’ at Record Office), and proceeded M.A. in 1752. He was appointed by the assistance of John Jackson (1686–1763) [q. v.] confrater of Wigston's Hospital, Leicester, in 1760, and in 1791 rector of Foston, Leicestershire. He died at Leicester on 13 Nov. 1811.

Ludlam attacked the Calvinistic writers of his day in the ‘Orthodox Churchman's Review.’ He was a disciple of Locke, and applied Locke's principles to religious discussion. His knowledge of scripture was sound, and his interpretation of it clear and discriminating. Bishop Hurd, on seeing his first essay, caused his second to be printed at his own expense. His brother William held unpopular views on the Holy Spirit, and Thomas supported them in his ‘Four Essays’ ‘with an unexampled self-sufficiency, arrogance, and contempt of others’ ({{sc|Dr. Isaac Milner's} Pref. to Sermons, 1804, i. 102). He was always peculiarly trenchant and disdainful in his treatment of adversaries. Milner charges him with ‘treating men as fanatics, enthusiasts, and rejecters of reason, or as sly, artful, and designing characters, because they venture to think for themselves in religious matters.’ In character he was charitable and pious.

Ludlam wrote: 1. ‘Logical Tracts on Locke,’ Cambridge [1790], 8vo; vindicating Locke against Milner, Horne, and others. 2. ‘Four Essays on the Holy Spirit,’ London, 1797, 8vo. 3. ‘Six Essays upon Theological, to which are added two upon Moral, Subjects,’ London, 1798, 8vo. Most of these essays are included in ‘Essays, Scriptural, Moral, and Logical,’ by William and Thomas Ludlam, 1807, 8vo; 2nd edit. 1809.

 LUDLAM, WILLIAM (1717–1788), mathematician, born at Leicester in 1717, was elder son of Richard Ludlam (1680–1728), who graduated M.B. at St. John's College, Cambridge, in 1702, and practised medicine at Leicester. Thomas Ludlam [q. v.] was his youngest brother. His mother was Anne, daughter of William Drury of Nottingham. His uncle, Sir George Ludlam, was chamberlain of the city of London, and died in 1726. One of his sisters became stepmother of Joseph Cradock [q. v.], another married Gerrard Andrewes, and was mother of Gerrard Andrewes [q. v.], dean of Canterbury.

Ludlam, after attending Leicester grammar school, became scholar of his father's college, St. John's, Cambridge, and was elected to a fellowship in 1744. He matriculated in 1734 and graduated B.A. 1738, M.A. 1742, and B.D. 1749. In 1749 he was instituted to the vicarage of Norton-by-Galby in Leicestershire, on the nomination of Bernard Whalley. From 1754 to 1757 he was junior dean of his college, and from 1767 to 1769 he was Linacre lecturer in physic. In 1760 he unsuccessfully contested the Lucasian chair of mathematics with Edward Waring. In 1765 he was one of ‘three gentlemen skilled in mechanics’ appointed to report to the board of longitude on the merits of John Harrison's watch [see, 1693–1776]. His report is given in the ‘Gentleman's Magazine,’ 1765, pt. i. p. 412. He enjoyed considerable reputation at the time for his skill in practical mechanics and astronomy, as well as for his mathematical lectures.

In 1768, having accepted from his college the rectory of Cockfield in Suffolk, thereby vacating his fellowship, Ludlam removed to Leicester, where he spent the remaining twenty years of his life in his favourite studies. At first he lived with his brother Thomas in Wigston's Hospital, but in 1772 he married. In E. T. Vaughan's ‘Life of Thomas Robinson,’ who was then vicar of St. Mary's, Leicester, William Ludlam appears as a man of independent character, sound judgment, and pungent wit. He died on 16 March 1788,