There have been two baronetcies created for members of the Vestey family, both in the Baronetage of the United Kingdom.
In 1921 he was raised to the peerage as Baron Vestey (see this title for more information).
The Vestey Baronetcy, of Shirley in the County of Surrey, was created in the Baronetage of the United Kingdom on 27 June 1921 for Edmund Vestey.
As of 2010 the title is held by his grandson, the third Baronet, who succeeded his father in 2005.
The heir presumptive is the present holder's cousin Dr. James Patrick Vestey (born 1954).