Lewis is interested in the history of the Alford Arms and I was able to fill in some details from the 1841-1861 census and some newspaper accounts on the British Newspaper Archive - see Alford Arms, Frithsden, mid 19th century for full details. However I was unable to find out why it was called the Tyrant's Arms in 1851 (and possibly for long before that) or who the tyrant was. In addition I was unable to date the fire that apparently led to a rebuild in Victorian times. Can any of you help by commeting below.
The Alford Arms is buried in the countryside behind Berkhamsted, and I have heard the food is excellent. The hamlets of Frithsden, and nearby Nettleden, are harder to research than many places because of the parish and former county boundaries. Even if the pub you are researching is somewhere else my answer to Lewis may give you some ideas as to where information may turn up.