On the 21st of April, 1769, Alexander Campbell was appointed ensign in the forty-second, Royal Highland regiment, then in Ireland, and in December, 1770, he was promoted to a lieutenancy in the second battalion of the Royals, which he joined at the island of Minorca; in September, 1772, he was advanced to captain of a company in the fiftieth, from which he exchanged to the sixty-second regiment in November following. He embarked for Canada with the sixty-second on the breaking out of the American war, and served the campaign of 1776, under General Carleton, afterwards Lord Dorchester. In 1777, he served under Lieut.-General Burgoyne, in the desperate attempt to advance from Canada, through the country, in a state of rebellion, to Albany, shared in the toils and fighting of that enterprise, and was included in the convention at Saratoga. On the 26th of December, 1777, he was promoted to major of the seventy-fourth regiment, and proceeding to New York, he was appointed to act as major of the first battalion of light infantry, with which he served two campaigns, and at the termination of the war he commanded at Penobscot. On the 31st of December, 1782, he was promoted to the lieut.-colonelcy of the sixty-second foot, with which regiment he served in Scotland and Ireland until June, 1789, when he exchanged to captain and lieut.-colonel in the third foot guards. He served the campaign of 1793, and part of that of 1794, in Flanders, under His Royal Highness the Duke of York; he had, in the meantime, been promoted to the rank of colonel (12th October, 1793), and commissioned to raise the 116th regiment of foot, and he withdrew from Flanders. He subsequently commanded a brigade in the forces under Lieut.-General the Earl of Moira, and was promoted to the rank of major-general, on the 26th of February, 1795. In 1796 he served under Lieut.-General Sir Ralph Abercromby, in the West Indies, and was appointed colonel of the seventh West India regiment, in November of that year. He served on the staff at Newcastle in 1797; in Ireland in 1798; and afterwards in Scotland. In 1802 his regiment was disbanded; he was promoted to the rank of lieut.-general in April of that year, and was placed on the staff of Ireland, and subsequently on that of Scotland, where he served five years. In 1804 he was appointed colonel of the THIRTEENTH regiment; in 1812 he was promoted to the rank of general, and was removed to the thirty-second regiment in 1813. He died 24th of February, 1832. EDWARD MORRISON. _Appointed 15th February, 1813._