Have added some extra details from the newspapers. You will see there is some difference as to exactly when John Beddowes left.
Prince of Wales , Cambridge St
Below is a list of landlords for the pub. The date of the directory items is the publication date and in later directories is usually taken as referring to the year before, but in ealier directories it could refer to an even earlier year, as can be seen from the lack of entries for the two 1855 directories.
Landlords
D = directory; N= newspaper report
1854(D) George Littlewood
He applied for a spirits licence on 8th sept.1854(N). As, on his bankruptcy, in March and April 1855, he is stated to have been at the Fox & hounds for 2 years, he must have been there in 1853 (N)
It does not seem to appear in the 1855 PO or White's directories. Possibly after Littlewood left it was not used as a pub
1858 John Beddowes is landlord . Pub lease for sale in august 1858(N)
1859 John Beddowes. Bankruptcy petition staes he was at F & H up till about February 1859 (N)
1858(D) Mary Lowe
1862(D) Benjamin Gaunt (Was named as the Fox & Hounds)
Daughter reported died Dec, 1863 (N)
1867-1873(D) Joseph Gunn
Applied for licence on 23rd 8.1867 (N)
Licence transferred to Chapman 6.8.1874. Described as Prince of Wales (N)
1876(D) George Chapman
Licence transferred to Smith on 5.4.1877 (N)
Smith came fro Sherborne Tavern Sherborne St (N)
1878(D) Thomas Smith
Cannot find licence transfer from Thomas Smith, but there is the licence application by a Thomas Smith for the Rose & Crown, Brearly St West on 2.8.1878, which may be the same person (N)
1879(D) David Reid
Licence transferred from David Read to George Gibbons on 2.10.1879 (N)
1880-1882(D) George Gibbons
(George Gibbons applies for licence for Brown lion essex st on St on 4.8.1882 (N))
Licence given to Thomas Tyler ( no mention of previous landlord) on 6.4.1882 (N)
1883-1884(D) Henry Thomas Tyler
1884 Licence taken over by Henry Wallington 4.12.1884(N)
1888-1892(D) William Ware
March 1890 advertised for lease by Holt Brewery (N)
Ware was prosecuted for, on 6.11.1891, permitting drunkenness and supplying drink to a drunken person (N)
1892 William Ware won a dispute regarding payment from a money club he ran, because the club was illegal !
1895-1900(D) Alfred Hill
1903-1908(D) Joseph Humphreys
1910(D) Keeling Birch
1912-1915(D) Arthur Polton
In 1946 Arthur Polton's death was announced and it was stated that he started the Crescent Wheeler cycle club at the Prince of Wales pub (N)
1921(D) Ernest Parsons
1924(D) Thomas Bradley
1932(D) Frederick Carl W.Skipp
1933-1936(D) Thomas Rose
1937-1939(D) John Packwood
John Packwood died Sept 1939 (N)
1940-1946(D) Mrs Polly Packwood
1947-1949(D) Benjamin Jones
1950 (D) Bernard Yarnold
1955 (D) Bert S.Jones
1956-1958(D) Harold Newby