The term for a village common area can vary depending on the region and its specific historical context, but here are some common terms:

• Village Green: This term is commonly used in New England and other parts of the United States, as well as in England, to describe a central open space in a village or town. Source: Wikipedia
• Common: This is a more general term for a piece of land owned collectively by a community, often used for grazing animals or other common purposes. Source: Wikipedia
• Village Square: In many towns and villages, the central open area is referred to as the village square, often serving as a gathering place and the site of public events.
• The Green: A shortened version of "village green," often used locally to refer to the common area.

The specific term used often depends on local tradition and historical usage.