Boyle was educated at Trinity College, Dublin. In 1749, he entered the Irish House of Commons, representing Dungarvan until 1761. He was then elected for Clonakilty as well as Cork County and sat for the latter constituency until 1764, when he succeeded his father in the titles. According to the "Blackwell Companion to Modern Irish Culture" by William John McCormack and Patrick Gillan, Richard "did not possess the political talent which had enabled his father to dominate the Irish House of Commons for so long." He served in the Privy Council of Ireland from 1763 to 1770. In 1766, Shannon was commissioned Master-General of the Ordnance of the Kingdom of Ireland. He resigned his post in 1770. In 1774, Shannon was again appointed Privy Councilor, serving to 1789. The same year he was appointed Muster-Master-General of the royal military forces in the Kingdom of Ireland. He maintained his position to 1781. That year he became Joint Vice-Treasurer of Ireland, an office held in commission with other politicians to 1789. In the later office Shannon served under William Cavendish, 5th Duke of Devonshire, the active Lord High Treasurer of Ireland. In 1783, Shannon was among the Founders of the Knights of St Patrick. In 1786, Shannon was created Baron Carleton in the Peerage of Great Britain. The title would keep being inherited by later Earls of Shannon. According to the "Blackwell Companion" this was a reward for political services to George III of Great Britain. Shannon "remained a force in domestic politics" and supported the governments of Dublin Castle. In other words, Shannon actively supported the continued British rule in Ireland throughout the 1770s and 1780s. At the time the Irish Volunteers, the local Irish militia, played a part in both military and political matters of the island. The Constitution of 1782 also increased the legislative freedom of the Irish Parliament. British administration relied in part to their continued support. In 1789, Shannon retired from all his political offices. The "Blackwell Companion" considers this a direct result of the Regency crisis of 1788. In the summer of 1788 the mental health of George III deteriorated, but he was nonetheless able to discharge some of his duties and to declare British Parliament prorogued from 25 September to 20 November. During the prorogation George III became deranged, posing a threat to his own life, and when Parliament reconvened in November the King could not deliver the customary Speech from the Throne during the State Opening of Parliament. Parliament found itself in an untenable position; according to long-established law it could not proceed to any business until the delivery of the King's Speech at a State Opening. The administration of William Pitt the Younger, Prime Minister of Great Britain outlined formal plans for installing a Regency. However their authority to do so was questionable. Shannon "broke with the administration" during the Crisis. The "Blackwell Companion" notes that he was back in the political fold by the middle of the 1790s, continuing to support the governments of Dublin Castle. In 1793, he was appointed a Privy Councilor for the third and final time. He served to his death in 1807. Also in 1793, Shannon was appointed First Lord of the Treasury for the Kingdom of Ireland. The "Companion" notes his strong support of the Act of Union 1800 which created the United Kingdom of Great Britain and Ireland. The authors point that the Act would result in "the abolition of his parliamentary base". His letters to his son, Henry, dating in large part to the 1798 period, were published in 1982.