A German spy had the distinction of being the last person to be executed in the Tower. He was shot on August 15, 1941 during World War II.
In the following year, Hitler's deputy, Rudolf Hess, was imprisoned in the tower for four days. During this time, RAF Wing Commander George Salaman was placed in the same cell undercover, impersonating a Luftwaffe officer, to spy on Hess. Although acting in a covert manner and not held as a true inmate, Salaman remains the last Englishman to be locked in the Tower of London.
Waterloo Barracks, the current location of the Crown Jewels, remained in use as a base for the 1st Battalion Royal Fusiliers (City of London Regiment) into the 1950s; during 1952 the Kray twins were briefly held there for failing to report for national service, making them among the last prisoners of the Tower;[citation needed] the last British citizen held for any length of time was the traitorous Army officer Norman Baillie-Stewart from 1933 to 1937. -
Wikipedia--------
This site has Hess imprisoned there before the August 15 execution.
After his capture in Scotland, Rudolph Hess, the Deputy Fuhrer of Germany was held in the Tower from 17 to 21 May 1941. - History of the UK ]
The site, along with many others, also mentions the Krays being "among the last" to be imprisoned there in the 1950s.
Among the last people to be held as prisoners at the Tower of London were the Kray twins, the notorious East End gangsters. They were doing their National Service with the Royal Regiment of Fusiliers which is based at the Tower in the 1950s, and went AWOL. They were captured not far away and were held in twin cells either side of the Waterloo Block clock for one night. --------
We may not be able to find out how was the last prisoner, but it certainly wasn't Hess or Jakobs. The last site's detail of the Kray's one night imprisonment, coupled with their correct dates on Hess' Scotland incident leads me to accept what it says about the Krays. If the link that MkStfnz provides called Hess Hitler's right hand man, it is in error there, too. By the time Hess made his flight to Scotland, he had already been pushed aside by several men.