This detail is from a 1610 map of Derbyshire in 1610 by cartographer John Speed.
Buxton in Speed’s map is not featured particularly prominently. The town is also shown as separate to Staden and Fairfield (appearing on the map as ‘Faiers feld’). Buxton has since grown to envelope both. Despite it’s modest billing on the map, we know people were still coming to take the waters through the 16th and 17th centuries, including Mary Queen of Scots and many members of the Elizabethan nobility.
John Speed (the creator of this map) was an English cartographer and historian during the Stuart Period, originally a tailor but when his skills were noticed by researchers, he was given the chance to become a full time scholar, which he pursued. By 1595, Speed published a map of Canaan in the biblical times, in 1598 he was given the honour to present his maps to Queen Elizabeth, and in 1611-1612 he published maps of Great Britain, with his son perhaps assisting Speed in surveys of English towns. His atlas The Theatre of the Empire of Great Britaine was published in 1611 and 1612, and contained the first set of individual county maps of England and Wales which is where the map of Derbyshire most likely came from.