This 1657 copy of an 1636 map. 1623-1637 is called the "Age of
Expansion" due to the vast numbers of new colonists brought
over.
If you look
closely, you can "key" in on Schenectady. You may even
find Lake Champlain... in the middle of New Hampshire! Lake
Ontario isn't known (or at least shown) at this time. New Amsterdam
shows the obligatory windmills in the legend, while on the left, you
can see a stockaded settlement.
(Click on the map to see a full screen image.)