Kudos Rob, well done! I summarize a bit from Wiki:
In 1507, the German cartographer Martin Waldseemüller produced a new Latin edition of Ptolemy's treatise on geography, the first to include the recent discoveries, so far called the" New World", or the "Fourth Part of the World". The intro reads (in Latin):
"There is a fourth quarter of the world which Amerigo Vespucci has discovered..., and I do not see why anyone should justifiably forbid it to be called Amerie, as if 'Americus' Land', or America, from its discoverer Americus, a man of perceptive character; since both Europa and Asia have received their names from women."
In 1513, Waldseemüller appears to have had second thoughts about the name, probably due to contemporary protests about Vespucci’s role in the discovery and naming of America. He corrected the error in a later edition, where the continent is labelled" Terra Incognita" (unknown land), and South America "Terra Nova", but the name America had now already been established.