Factual error: Pierrepoint is depicted as having a London accent. In real life, however, he was from the north of England, and had a Yorkshire accent, which sounds completely different. This is proved in a BBC interview with him, dating from the 1970s.
Factual error: When the prison officer played by Michael Elphick is reading from the newspaper about Bentley's case he mentions that the execution is to take place in five days' time. The day of the execution was only revealed two days before it was to take place and could have been any day during that week. Also, prisoners weren't allowed newspapers which featured themselves in it, those articles were always removed.