Earl of Dartrey

During the 1650s and 1660s, his second son, Richard, a cornet in Cromwell's cavalry, purchased 31 townlands which formed the nucleus of the family's estates in County Monaghan.

Their son, Richard Dawson (died 1766), represented County Monaghan in the Irish House of Commons, becoming a Dublin banker and Alderman.

Lord Cremorne represented County Monaghan in the British House of Commons between 1812 and 1813.

Lucius Henry Dawson (died 1795), nephew of the first Viscount and uncle of the second Baron, was a captain in the Royal Navy.

Thomas Vesey Dawson, also a nephew of the first Viscount and uncle of the second Baron, was Dean of Clonmacnoise.

Thomas Vesey Dawson (1819–1854), second son of the second Baron, was a lieutenant-colonel in the Coldstream Guards and fought in the Crimean War, where he was killed in action at the Battle of Inkerman in 1854.