There are currently around 5,000 Turveys in the world, as follows:
The population in England is concentrated around Bedfordshire and Worcestershire. This has been the consistent pattern in all censuses since 1841, except that there has been a general urbanisation and diffusion of the population. Census returns showed a steady growth in Turvey population:
The following map shows the distribution of Turveys in 1841 according to the census:
The blue lines shows the migration patterns that can be seen on this map:
Earliest recorded Turveys
The earliest recorded Turveys include:
Around a third of all Turveys today are descended from Turveys in Worcestershire, including the descendents of William Turvey (1). However, there is no mention of an Turveys in the subsidy rolls for Worcestershire in 1332  or 1327  nor in the neighbouring counties of Gloucestershire & Bristol  
The earliest mention of a Turvey in the county is of yeoman George Turvey of Walcot, who was imprisoned in Worcester Gaol in 1510 on account of a debt of £17 he owed. Walcot is located in the parish of Pershore, 9 miles southeast of Worcester. His will was recorded in 1557 as "George Turv, yeoman, Walkott Worcester".  Walcot is recorded in the hands of John le Blake in 1313, who held it from the Abbey of Pershore.
This suggests a possible "founder effect", where an ancestor moved to the area sometime in the 1400s and was particularly successful, leading to a larger than normal number of descendants. It is possible that this person could have been a retained soldier who fought in the Wars of the Roses and was rewarded with land in Worcestershire.
A David Turvys was listed as a goldsmith and Burgess in nearby Bristol in 1528.  Another will, Rycharde Turvey of Drake Broughton, was recorded in 1542. Drake Broughton is 2 miles northwest of Pershore.
Pershore parish registers begin in 1540. Early records include:
A will of Elenor Turvie was recorded at the Bishop of Worcester's court on 7 Oct 1576. 
Ann Turvey, wife of Bartholemew Turvey, was buried 10 Feb 1615 in Pershore
The next records are from Droitwich, 7 miles north of Worcester:
Around the same time, there are two records from Pinvin, a chapelry of Pershore parish, 2 miles north of Pershore:
Meanwhile, a Rychard Turvey married Joanne Walker on 22 Jul 1599 in Offenham, 7 miles east of Pershore. 
A graduate of Oxford University, Richard Turvey (b 1602), is listed receiving a B.A. on 6 Dec 1622 and an M.A. on 22 Jun 1625. He was appointed Rector of Sedgeberrow, Worcestershire, on 9 Nov 1627, on the death of the previous incumbent. Papers dated 28 Sep 1648 indicate that he was charged by the victorious parliamentarians following the end of the English Civil War. 
The Heraldry of Worcestershire talks of the Turveys of Walcot, "a family possessed of considerable landed property". Richard Turvey of Walcot died in 1658, aged 60, leaving his daughter Elizabeth as heir, and his property passed to their children, the Earls of Plymouth. 
Edward Turvey of Walcot, esq, was fined in 1625 for "not taking knighthood on the coronation of Charles I".
The Hearth Tax records for Worcestershire in 1664 listed nine Turvey households who were liable for the tax:
Thomas Turvey bought the Manor of Breedon, 7 miles south of Pershore, in 1667.  A "Thomas Turvey of Bredon" was included in Blome's "list of the gentry of Worcestershire" in 1673.
The earliest record of a Turvey in the United States was John Turvey, from Ashford, Kent, England who sailed to Massachusetts in 1634 on the ship Hercules. He was listed as a servant of Dr. Comfort Starr, a surgeon who settled in Boston and became one of the earliest benefactors of Harvard University.
However, the ancestors of most Turveys in the United States migrated there from Britain in the latter half of the nineteenth century. Between 1820 and 1957, 107 Turveys were listed on passenger lists travelling from Britain to New York and Boston.  Census returns showed only 1 Turvey family in 1840 - perhaps the family of Hyatt Turvey - which had increased to 147 families by 1880. Two thirds lived in Ohio and the population was limited to 12 states. By 1920 the total number had reduced to 107 families but the population was now spread through 27 States; the number of families living in Ohio had halved.  Only sixty four people were listed in 1920 with a British birthplace. 
Four Turvey brothers from Essex, England - James, George, Frederick and Thomas, were transported to Australia in the 1830s, becoming the first Turveys in Australia.  The population grew steadily in the twentieth century. Electoral rolls in Victoria listed 30 Turveys in 1903, growing to 85 by 1936. By then there were 248 listed throughout Australia as follows:
Turvey Park, a suburb of the city of Wagga Wagga in New South Wales derives its name from Thomas Turvey, the transported convict who later became the licensee of the Bridge Hotel.
Twenty seven Turveys were listed in the 1891 Canadian census as having a British birthplace - of whom 21 were in Ontario.  Today there are nearly 400 Turveys in Canada, mostly in Ontario and British Columbia. 
Included in the 4,000 English settlers who moved to South Africa in 1820, was Edward Turvey, born in Dublin, and his family. 
There are a handful of records of Turveys living in Ireland. In 1771, a Thomas Turvy was recorded marrying Ann Barber in a Catholic church in Dublin. In 1802 and 1803, two sisters, Lidiam Perdue and Matildam Perdue were recorded being baptised in the same church with godparents of Martha and Matilda Turvy respectively. 
In 1781, Edward Ford Turvey, the ancestor of the South African Turveys above, was born in Dublin apparantly to an Anglican family. His father, John Turvey, was born in 1738. Edward lost most of his fortune in a business venture with two ship owners, Aiken and McGrath. On 4 February 1805 he married Julia Wright nee Daniel, a rich widow. Their first three children, Mary, Eliza Juliana and Edward Mortimer, were born in Dublin in 1806, 1809 and 1811 respectively. In 1820 he organised a party of settlers to move to South Africa. 
In 1873, the weddding was reported in St Werbergh's, Dublin of Alexander Turvey, who lived in Longford and was a Corporal in the 8th Hussars, a predominantly protestant army regiment. His father was listed as Arthur Turvey, a civil engineer. 
Barons of Turvey
A separate, unrelated, family, is the Barnewalls. As early as 1534 Sir Patrick Barnewall was styled "of Turvey". His son, Sir Christopher Barnewall built Turvey House in Dublin in 1565, which gives its name to the adjacent district. His grandson, Sir Nicholas Barnewall was made Baron Turvey in recognition of his service during the English Civil War. 
 1,964 people listed in 1998: http://www.nationaltrustnames.org.uk/Comparisons.aspx?name=TURVEY&year=1998&altyear=1881&country=GB&type=name
 The Turvey Name in History, The Generations Network, 2008