The coin dates to the period of the Commonwealth of England, 1649 - 1660. Previously, the image of the king had been used to show that the coinage was backed by the government, but after the execution of King Charles I, a new, kingless coin had to be designed.
Henry III coin with name of Moneyer William. The making (minting) of coins was done by companies. These 'moneyers' as they were known paid a fee for the privilege of making the coins. Their names appear on many of the earlier coins, like this one, which has the name of Moneyer William.
The king's titles appeared around the portrait of the king, as today. Edward I called himself Edward King of England, Lord of Ireland. This coin was minted [made] in Dublin, Ireland. Later kings added their claim to the French throne.