Many accurate 1921 census transcriptions have already been added to the pub history site, including London, and parts of Middlesex.
Holborn index
This appears to be called the Pheasant in 1809, 1833, and also in 1841; but the Pheasant & Barleymow in 1832, 1839 and in 1842.
A listing of historical public houses, Taverns, Inns, Beer Houses and Hotels in Holborn - St Andrew, London.
Residents at this address.
1805/Thomas Harrison, victualler, 17 Grays Inn lane/../../Holdens Directory
1809/David Manley, the Pheasant, Grays Inn lane/../../Holdens Directory
1832/George Mills, Pheasant & Barleymow, 17 Grays Inn lane/../../Robsons Directory
1833-34/George Mills, Pheasant, 17 Grays Inn lane/../../Pigot's Directory
1839/George Witcherley, Pheasant & Barleymow, 17 Grays Inn lane/../../Pigots Directory
1841/Edw Adams, Pheasant, 17 Grays Inn lane/../../Post Office Directory
1842/W Gibbons, Pheasant & Barleymow, 17 Grays Inn lane/../../Robsons Directory
1846/James MacDermott/../../../Post Office Directory
1848/Cornelius Delowry/../../../Post Office Directory
August 1848/William Dwyer/Outgoing Licensee/../../Era Newspaper
August 1848/William Toomer/Incoming Licensee/../../Era Newspaper
1851/Michael Riordan/../../../Kellys Directory
1851/Thomas Farrell/Licensed Victualler/51/Ireland/Census
1851/Elizabeth Farrell/Wife/45/London, Middlesex/Census
1851/Thomas Farrell/Son, Book Binder/20/London, Middlesex/Census
1851/John Farrell/Son/17/London, Middlesex/Census
1851/Bridget Hannon/General Servant/28/Ireland/Census
1852/Thomas Farrell, Albert, 17 Grays Inn lane/../../Post Office Directory
November 1852/John Southgate/Outgoing Licensee/../../Era Newspaper
November 1852/Patrick Carroll/Incoming Licensee/../../Era Newspaper
1858/Patrick Carroll, Albert, 17 Grays Inn lane/../../Post Office Directory
January 1862/late tenant quit/Outgoing Licensee/../../Era
January 1862/Alexander Deane/Incoming Licensee/../../Era
October 1862/Alexander Deane/Outgoing Licensee/../../Morning Post
October 1862/Frederick Hesse/Incoming Licensee/../../Morning Post
** Provided By Stephen Harris