In 1645, the European colonization in North America was still in its early stages, and several European powers had established colonies along the eastern seaboard. Here are some of the notable European colonies in North America around that time:
Florida: The Spanish established settlements in Florida in the 16th century. St. Augustine, founded in 1565, is considered the oldest continuously inhabited European-established settlement in the continental United States.
Virginia Colony: Established in 1607 at Jamestown by the English colonists, this was one of the first permanent English settlements in North America.
Maryland Colony: Established in 1634 by Lord Baltimore as a refuge for English Catholics, Maryland became an important colony in the Chesapeake Bay region.
New Sweden: The Swedish established a short-lived colony along the Delaware River in the early 17th century. It was later absorbed by the Dutch.
New Netherland: Originally settled by the Dutch, New Netherland included areas such as present-day New York City and parts of New Jersey. (In 1664, the English captured New Netherland, renaming it New York.)
Plymouth Colony: Founded by the English Pilgrims in 1620 in present-day Massachusetts, Plymouth was one of the earliest New England colonies.
Massachusetts Bay Colony: Founded in 1630 by Puritans, this colony was another significant English settlement in New England, centered around Boston.
Connecticut Colony: Founded in the early 1630s by English settlers, Connecticut was part of the New England colonies.
New France: The French established colonies in the region of present-day Canada, including Quebec, and had a presence in the Great Lakes region.
It's important to note that these colonies were constantly evolving, and their borders and influence expanded over time. The mid-17th century was still a time of growth and development for these colonies, and conflicts between European powers for control of North American territories were common.