Question: In what Prince of Orange's parliament did Arthur Chichester sit?

Context paragraphs:
Lord Arthur Chichester: Lord Arthur Chichester (30 September 1808 – 25 January 1840), was an Anglo-Irish Member of Parliament (MP).

Baron O'Neill: Baron O'Neill, of Shane's Castle in the County of Antrim, is a title in the Peerage of the United Kingdom.  It was created in 1868 for the musical composer The Reverend William O'Neill.  Born William Chichester, he succeeded to the estates of his cousin John Bruce Richard O'Neill, 3rd Viscount O'Neill, in 1855 (on whose death the viscountcy and barony of O'Neill became extinct) and assumed by Royal licence the surname of O'Neill in lieu of Chichester in order to inherit the lands of his cousin, despite not being descended in the male line from an O'Neill.  The Chichesters trace their lineage to the name O'Neill through Mary Chichester, daughter of Henry O'Neill of Shane's Castle.  Lord O'Neill was the patrilineal great-great-great-grandson of John Chichester, younger brother of Arthur Chichester, 2nd Earl of Donegall.  The latter two were both nephews of Arthur Chichester, 1st Earl of Donegall, and grandsons of Edward Chichester, 1st Viscount Chichester (see the Marquess of Donegall for more information).  Lord O'Neill was succeeded by his eldest son, the second Baron.  He sat as a Conservative Member of Parliament for Antrim.

William III of England: William III (Dutch: "Willem" ; 4 November 1650 – 8 March 1702), also widely known as William of Orange, was sovereign Prince of Orange from birth, Stadtholder of Holland, Zeeland, Utrecht, Gelderland, and Overijssel in the Dutch Republic from 1672, and King of England, Ireland, and Scotland from 1689 until his death.  It is a coincidence that his regnal number (III) was the same for both Orange and England.  As King of Scotland, he is known as William II.  He is sometimes informally known in Northern Ireland and Scotland as "King Billy".

Arthur Chichester (disambiguation): Arthur Chichester, 1st Baron Chichester (1563–1625) was an English administrator and Lord Deputy of Ireland

Marquess of Donegall: Marquess of Donegall is a title in the Peerage of Ireland held by the head of the Chichester family, originally from Devon, England.  Sir John Chichester sat as a Member of Parliament and was High Sheriff of Devon in 1557.  One of his sons, Sir Arthur Chichester, was Lord Deputy of Ireland from 1604 to 1614.  In 1613, he was raised to the Peerage of Ireland as Baron Chichester, of Belfast in County Antrim.  He died childless in 1625 when the barony became extinct.

Arthur Chichester, 1st Marquess of Donegall: Arthur Chichester, 1st Marquess of Donegall (13 June 1739 – 5 January 1799), known as Arthur Chichester until 1757 and as The Earl of Donegall between 1757 and 1791, was an English nobleman and politician in Ireland.

Arthur Chichester, 3rd Earl of Donegall: Arthur Chichester, 3rd Earl of Donegall (1666 – 10 April 1706) was an Irish nobleman and soldier.  Having succeeded his father as third Earl of Donegall in 1678, he refused to attend the Irish Parliament called by James II in May 1689, but later sat in the Parliament called by William III in October 1692.

Arthur Chichester, 1st Baron Chichester: Arthur Chichester, 1st Baron Chichester of Belfast (May 1563 – 19 February 1625), (known between 1596 and 1613 as Sir Arthur Chichester), was an English administrator and soldier who served as Lord Deputy of Ireland from 1605 to 1616.  He was instrumental in the founding and expansion of Belfast, now Northern Ireland's capital.  Several streets are named in honour of himself and his nephew and heir Arthur Chichester, 1st Earl of Donegall, including Chichester Street and the adjoining Donegall Place, site of the Belfast City Hall.

Baron Templemore: Baron Templemore, of Templemore in the County of Donegal, is a title in the Peerage of the United Kingdom, since 1975 a subsidiary title of the marquessate of Donegall.  It was created on 10 September 1831 for Arthur Chichester, Member of Parliament for Milborne Port and County Wexford.  He was the son of Lord Spencer Stanley Chichester, third son of Arthur Chichester, 1st Marquess of Donegall (see Marquess of Donegall for earlier history of the Chichester family).  Lord Templemore's son, the second Baron, and grandson, the third Baron, both served as Deputy Lieutenants of County Wexford.  The latter was succeeded by his eldest son, the fourth Baron.  He served as the Government Chief Whip in the House of Lords between 1940 and 1945.  He was succeeded by his second but eldest surviving son, the fifth Baron.  In 1975 he succeeded his kinsman as seventh Marquess of Donegall.  For further history of the titles, see Marquess of Donegall.

James Chichester, Earl of Belfast: James Arthur Chichester, Earl of Belfast (born 19 November 1990) is the eldest son of Patrick Chichester, 8th Marquess of Donegall.  The heir apparent to the Marquessate of Donegall and its subsidiary titles, he was styled Viscount Chichester between 1990 and 2007.  He was styled as Earl of Belfast in 2007.  He was educated at Belhaven Hill School, Harrow School and Trinity College, Dublin.  He is married to Oilbhe Cahill-Reid (born 1990), who is styled Countess of Belfast.

Supporting paragraphs: Arthur Chichester, 3rd Earl of Donegall William III of England
Answer: William III