Career
He was a student at the Royal Academy, and in 1772 competed with John Flaxman for the gold medal given by the Royal Academy for a bas-relief of "Ulysses and Nausicaa". In this competition Engleheart was successful, to the bitter disappointment of Flaxman. In 1777 the Society of Arts awarded him a prize for a six-foot tall model depicting John the Baptist in the desert.
He exhibited various busts and models in wax at the Royal Academy from 1773 to 1786.
There are wax portraits of George III and Queen Charlotte by Engleheart in the Royal Collection. An oval medallion of Edward, Duke of Kent, modelled in red wax in 1786 is in the collection of the National Portrait Gallery in London.