Morgan was born in London in March 1620, was brought up to and practised the profession of an arms-painter.
[1][2] In 1648, he printed a poem entitled "London, King Charles his Augusta, or City Royal of the Founders"; and in 1652 "Horologiographia Optica, Dialling universal and particular".
Morgan says that this book had taken him years to compile and had been originally intended for dedication to Charles I, and that he had neglected his trade as arms-painter, suffered much illness, and had had his house burnt down.
[2] In 1666, he published a supplement, entitled Armilogia, sive Ars Chromocritica: the Language of Arms by the Colours and Metals.
He died on 27 March 1693, and was buried in the church of St Bartholomew, behind the Exchange.