He was succeeded by his son, the second Viscount. He was a prominent statesman and served as Secretary of State for the Northern Department from 1714 to 1716 and from 1721 to 1730. Lord Townshend is also remembered for the agricultural reforms he undertook at his Norfolk estate and gained the nickname "Turnip Townshend". His eldest son, the third Viscount, briefly represented Great Yarmouth in the House of Commons. However, in 1723, during his father's lifetime, he was summoned to the House of Lords through a writ of acceleration in his father's junior title of Baron Townshend (although he was styled "Lord Lynn", taken from the territorial designation of the barony, to distinguish him from his father). Lord Townshend later served as Lord Lieutenant of Norfolk.
He was succeeded by his eldest son, the fourth Viscount. He was a Field Marshal in the Army and served as Lord Lieutenant of Ireland and as Master-General of the Ordnance. In 1787 he was created Marquess Townshend in the Peerage of Great Britain. Lord Townshend married as his first wife Charlotte Compton, 15th Baroness Ferrers of Chartley and 7th Baroness Compton. He was succeeded by his eldest son, the second Marquess. He had already on his mother's death in 1770 succeeded in the baronies Ferrers of Chartley and Compton. In 1784, 23 years before he succeeded his father, he was created Earl of Leicester in the Peerage of Great Britain. His choice of title derived from the fact that he was a female-line great-great-great-grandson of Lady Lucy Sydney, daughter of Robert Sidney, 2nd Earl of Leicester (a title which had become extinct in 1743). Lord Townshend later held office as Master of the Mint, as Joint Postmaster General and as Lord Steward of the Household.
His son, the third Marquess, was childless. On his death in 1855 the earldom of Leicester became extinct while the baronies of Ferrers of Chartley and Compton fell into abeyance. He was succeeded in the other titles by his first cousin, the fourth Marquess. He was the son of Lord John Townshend, second son of the first Marquess. Lord Townshend was a Rear-Admiral in the Royal Navy and also sat as Member of Parliament for Tamworth. His son, the fifth Marquess, also represented Tamworth in Parliament (as a Liberal). As of 2007 the titles are held by the latter's grandson, the seventh Marquess, who succeeded his father in 1921.
Several other members of the Townshend family have also gained distinction. Charles Townshend, second son of the third Viscount, was a prominent statesman and orator and served as Chancellor of the Exchequer from 1766 to 1767. The politician Thomas Townshend, 1st Viscount Sydney, after whom the town of Sydney, Australia, was named, was the son of the Hon. Thomas Townshend, second son of the second Viscount. Sydney's grandson was the Liberal politician John Townshend, 1st Earl Sydney. Charles Townshend, 1st Baron Bayning, was the son of the Hon. William Townshend, third son of the second Viscount. See also Roger Townshend, Admiral George Townshend, Lord Charles Vere Ferrers Townshend, Lord John Townshend, Lord Charles Townshend, Charles Fox Townshend and Major-General Sir Charles Vere Ferrers Townshend.
As Lord Townshend holds no titles with names different from his main title, the territorial designation from his viscountcy is used for his heir, who is styled Viscount Raynham. Between 1807 and 1855 the courtesy title was Earl of Leicester (although the title was not used from 1811 to 1855 as there was no heir apparent to the marquessate during this period) while from 1782 to 1855 the courtesy title used by the heir apparent to the earldom of Leicester was Lord Ferrers of Chartley (and consequently was not used from 1811 to 1855 as there was no heir apparent either to the earldom or marquessate).