There has been two Baronetcies created for people with the surname Barrington; one is extinct, and the other is still extant.

The Barrington Baronetcy, of Barrington Hall in the County of Essex

Essex

Essex is a ceremonial and non-metropolitan county in the East region of England, and one of the home counties. It is located to the northeast of Greater London. It borders with Cambridgeshire and Suffolk to the north, Hertfordshire to the west, Kent to the South and London to the south west...

 was created in the Baronetage of England on 29 June 1611 for Francis Barrington, Member of Parliament for Essex

Essex (UK Parliament constituency)

Essex was a constituency represented in the House of Commons of the Parliament of the United Kingdom from 1290 until 1832. It elected two MPs, traditionally referred to as Knights of the Shire, to the House of Commons...

. His son, the second Baronet, sat in the House of Commons

British House of Commons

The House of Commons is the lower house of the Parliament of the United Kingdom, which also comprises the Sovereign and the House of Lords . Both Commons and Lords meet in the Palace of Westminster. The Commons is a democratically elected body, consisting of 650 members , who are known as Members...

 for Newtown

Newtown (UK Parliament constituency)

Newtown was a parliamentary borough located in Newtown on the Isle of Wight, which was represented in the House of Commons of England then of the House of Commons of Great Britain from 1707 to 1800 and of the House of Commons of the United Kingdom from 1801 to 1832...

, Essex

Essex (UK Parliament constituency)

Essex was a constituency represented in the House of Commons of the Parliament of the United Kingdom from 1290 until 1832. It elected two MPs, traditionally referred to as Knights of the Shire, to the House of Commons...

 and Colchester

Colchester (UK Parliament constituency)

Colchester is a parliamentary constituency represented in the House of Commons of the Parliament of the United Kingdom. It elects one Member of Parliament by the first past the post system of election.-History:...

. The third Baronet was also Member of Parliament

Member of Parliament

A Member of Parliament is a representative of the voters to a :parliament. In many countries with bicameral parliaments, the term applies specifically to members of the lower house, as upper houses often have a different title, such as senate, and thus also have different titles for its members,...

 for Newtown

Newtown (UK Parliament constituency)

Newtown was a parliamentary borough located in Newtown on the Isle of Wight, which was represented in the House of Commons of England then of the House of Commons of Great Britain from 1707 to 1800 and of the House of Commons of the United Kingdom from 1801 to 1832...

. He died in 1683, and was succeeded by his grandson, who died in turn unmarried in 1691. The latter's younger brother, the fifth Baronet, was a Member of Parliament

Member of Parliament

A Member of Parliament is a representative of the voters to a :parliament. In many countries with bicameral parliaments, the term applies specifically to members of the lower house, as upper houses often have a different title, such as senate, and thus also have different titles for its members,...

 for Essex

Essex (UK Parliament constituency)

Essex was a constituency represented in the House of Commons of the Parliament of the United Kingdom from 1290 until 1832. It elected two MPs, traditionally referred to as Knights of the Shire, to the House of Commons...

. He died childless in 1715 and the baronetcy went to a son of the younger son of the third Baronet. The seventh Baronet sat for Newtown

Newtown (UK Parliament constituency)

Newtown was a parliamentary borough located in Newtown on the Isle of Wight, which was represented in the House of Commons of England then of the House of Commons of Great Britain from 1707 to 1800 and of the House of Commons of the United Kingdom from 1801 to 1832...

 for 48 years. Since his marriage was without children, he was succeeded by his younger brother. The latter's son, the ninth Baronet, was also a Member of Parliament

Member of Parliament

A Member of Parliament is a representative of the voters to a :parliament. In many countries with bicameral parliaments, the term applies specifically to members of the lower house, as upper houses often have a different title, such as senate, and thus also have different titles for its members,...

 for Newtown

Newtown (UK Parliament constituency)

Newtown was a parliamentary borough located in Newtown on the Isle of Wight, which was represented in the House of Commons of England then of the House of Commons of Great Britain from 1707 to 1800 and of the House of Commons of the United Kingdom from 1801 to 1832...

. He died childless in 1818, and his younger brother became the next baronet

Baronet

A baronet or the rare female equivalent, a baronetess , is the holder of a hereditary baronetcy awarded by the British Crown...

. After the death of the tenth Baronet in 1832, the baronetcy became extinct.

The Barrington Baronetcy, of the City of Limerick

Limerick

Limerick is the third largest city in the Republic of Ireland, and the principal city of County Limerick and Ireland's Mid-West Region. It is the fifth most populous city in all of Ireland. When taking the extra-municipal suburbs into account, Limerick is the third largest conurbation in the...

, was created in the Baronetage of the United Kingdom on 20 September 1831 for Joseph Barrington. His grandson, the third Baronet died childess in 1872, and was succeeded by his younger brother. Since the latter's grandson, the sixth Baronet had only two daughters, the next baronet became his younger brother. The seventh Baronet died unmarried in 2003, and the baronetcy went to a descendant of a younger son of the first Baronet.

Barrington Baronets, of Barrington Hall (1611)

• Sir Francis Barrington, 1st Baronet
  Sir Francis Barrington, 1st Baronet
  Sir Francis Barrington, 1st Baronet was an English politician, barrister and baronet.-Life:Francis Barrington was the eldest son of Sir Thomas Barrington of Barrington Hall, Hatfield Broadoak, Essex and as her second husband Winifred Pole , youngest daughter of the 1st Baron Montagu...
  
   (c. 1570–1628)
• Sir Thomas Barrington, 2nd Baronet
  Sir Thomas Barrington, 2nd Baronet
  Sir Thomas Barrington, 2nd Baronet was an English politician who sat in the House of Commons at various times between 1621 and 1644....
  
  (d. 1644)
• Sir John Barrington, 3rd Baronet
  Sir John Barrington, 3rd Baronet
  Sir John Barrington, 3rd Baronet was an English lawyer and politician.He was the eldest son of Sir Thomas Barrington, 2nd Baronet and Francis Gobert, daughter of John Gobert. He was educated at Trinity College, Cambridge. In 1635, when called to the bar from Gray's Inn, Barrington was knighted at...
  
   (1605–1683)
• Sir John Barrington, 4th Baronet (1670–1691)
• Sir Charles Barrington, 5th Baronet
  Sir Charles Barrington, 5th Baronet
  Sir Charles Barrington, 5th Baronet was an English Tory politician and baronet.-Background and education:He was the second son of Thomas Barrington, in turn first son of Sir John Barrington, 3rd Baronet, and his wife Lady Anne Rich, daughter of Robert Rich, 3rd Earl of Warwick. Barrington was...
  
   (c. 1671–1715)
• Sir John Barrington, 6th Baronet (c. 1673–1717)
• Sir John Barrington, 7th Baronet
  Sir John Barrington, 7th Baronet
  Sir John Barrington, 7th Baronet was a British politician and baronet.He was the older son of Sir John Barrington, 6th Baronet and Susan Draper, daughter of George Draper. Barrington succeeded his father as baronet in August 1717...
  
   (d. 1776)
• Sir Fitzwilliam Barrington, 8th Baronet (1708–1792)
• Sir John Barrington, 9th Baronet
  Sir John Barrington, 9th Baronet
  Sir John Barrington, 9th Baronet was a British politician and baronet.Born at Red Lion Street in London and baptised at St Andrew, Holborn, he was the first son of Sir Fitzwilliam Barrington, 8th Baronet and his wife Jane Hall, daughter of Matthew Hall. He was educated at Eton College until 1770...
  
   (1752–1818)
• Sir Fitzwilliam Barrington, 10th Baronet (1755–1832)

Barrington Baronets, of Limerick (1831)

• Sir Joseph Barrington, 1st Baronet (1764–1846)
• Sir Matthew Barrington, 2nd Baronet (1788–1861)
• Sir William Hartigan Barrington, 3rd Baronet (1815–1872)
• Sir Croker Barrington, 4th Baronet (1817–1890)
• Sir Charles Burton Barrington, 5th Baronet (1848–1943)
• Sir Charles Bacon Barrington, 6th Baronet (1902–1980)
• Sir Alexander Fitzwilliam Croker Barrington, 7th Baronet (1909–2003)
• Sir Benjamin Barrington, 8th Baronet (born 23 January 1950)

The heir apparent

Heir apparent

An heir apparent or heiress apparent is a person who is first in line of succession and cannot be displaced from inheriting, except by a change in the rules of succession....

is Patrick Benjamin Barrington (born 1988)