Short answers, pulled from the story.
Martin Droeshout was an English engraver of Flemish descent, baptised in April 1601. He is best known for creating the title portrait of William Shakespeare in the First Folio of 1623, edited by John Heminges and Henry Condell.
Martin Droeshout was 21 years old when he received the commission for the Shakespeare portrait. Shakespeare himself had died when Droeshout was fifteen, so the engraving was based on a pre-existing painting or drawing rather than a sitting.
Art historian Christiaan Schuckman argues that Droeshout's move to Madrid between 1632 and 1635 was caused by or led to a conversion to Catholicism, given that his Spanish engravings from 1635 to 1640 depict Catholic saints and Counter-Reformation themes. His family in London remained staunch Dutch Protestants.
Martin Droeshout shared his name with his uncle, also called Martin Droeshout, who was an established painter active at the same time. In 1991 historian Mary Edmund argued that the elder Martin made all the engravings, a view adopted by the Oxford Dictionary of National Biography. More recent research by June Schlueter reaffirms the traditional attribution to the younger Droeshout.
Droeshout made at least twenty-four engravings in London between 1623 and 1632. These included portraits of John Foxe, John Donne, and George Villiers, 1st Duke of Buckingham, as well as allegorical prints such as The Spiritual Warfare and his most complex independent work, Doctor Panurgus. He also contributed plates to Thomas Heywood's The Hierarchy of the Blessed Angels.
Droeshout appears to have anglicised his name to Droeswoode because of negative attitudes toward the Dutch in Spain at the time. The change was partly a translation: "hout" means "wood" in Dutch, making Droeswoode a rough English equivalent of his original surname.