Vernacular is not a formal architectural style. The name refers to any structure that is built without any influence of architects. It is based on the materials at hand and the traditions of the local residents.
Throughout the history of architecture in the United States of America, there have been those carpenters who do not attempt to achieve any particular style in the buildings they construct. They build a box shape and cap it with a roof of whatever pitch feels comfortable. Into the walls they cut doors and windows where those doors and windows will serve the inside the best. They do not try to make the facade absolutely symmetrical.
Many farmhouses were built in the Vernacular style because the owners could not afford to have an architect design a house for them.
In many cases, the builder of a Vernacular structure will have had no formal carpenter training.
Examples of the Vernacular style include two farmhouses found along Route 36 in South Woodbury Township.