Morgan studied at Birmingham Art School before being awarded a scholarship to study at the National Art Training School, London. He studied there for two years before working as an engraver for John Pinches. In 1876 Morgan moved to Philadelphia where he was employed as an assistant engraver at the United States Mint, under William Barber and later his son, Charles E. Barber. After more than forty years, in 1917, Morgan became Chief Engraver, a post he held until his death in 1925. He is known for designing the famous Morgan Dollar as well as the never publically issued, $100 Gold Union Coin.