Drogheda rapidly became a debauchee, and after squandering large sums, died at the age of 26, leaving his younger brother a heavily encumbered estate.
[2] Viscount Moore died on 21 May 1714, followed shortly after by his father the 3rd Earl on 7 June, upon which Henry succeeded in the earldom and family estates and quickly became a drunkard.
[2] Sent on the Grand Tour by his guardian, the Dowager Countess of Drogheda, he escaped from his governor in Brussels in June 1717.
In 1719, his grandmother obtained a release of responsibility for him from the Lord Chancellor of Ireland, writing that "he exceeds all the youth that ever went before him for wickedness".
[2] Drogheda's father-in-law was the Government electoral manager for the Cornish boroughs and obtained for him a seat at Camelford at the 1722 election.