Look at the second picture. It's from 1700 and shows New York (still remembered by the old name as well) as it probably looked. What rings false here are the noble savages, and the palm trees. Palm trees? Hadn't the artist seen New York? Of course not. Like printmakers before him, he was working from descriptions, including sketches, from people who had - but it was his task and his specialty to fill them out credibly. Presumably none of his sources had bothered to note what kinds of trees covered the island of Manahato, or how the natives looked, so he inserted stock savages and palm trees he surmised might belong from similar places (or rather: images of other places). (You might still wonder why Mme Savage is holding so tight to that tree; perhaps she senses that her people will be plucked from the picture along with it.)
The arist behind the top picture was doing the same - but starting with even less. He didn't just fill in people and flora from other pictures - he imported, wholesale, a city: Lisbon. The printmaker Jollain's Parisian customers, eager to know what the new city looked like, wouldn't know any better!
My point was not that you have to take historical representations with a grain of salt. It was, rather, that artists - like historians, anthropologists, journalists - fill in the gaps of their sources to make their representations seem complete and credible. In some cases, like the top picture, they knew they were fabulating; in others, they were venturing their best guesses. A pretty standard point about reading historical materials (nay, any materials by human beings), but rather a neat way of making it, no?
Source of both pictures: Impressions of New York: Prints from the New-York Historical Society, ed. Marilyn Symmes (NY: Princeton Architectural Press, 2005)