You would think that a farm barn is a farm barn is a farm barn, but it's not true. There are significant differences between regions and even countries.
In colonial New England, farmers naturally adopted the "English" style barn - basically a square framed box with a moderate pitched roof. It was not easily adaptable and eventually the "New England" barn evolved which was adaptable and expandable. Sadly, a lot of these barns no longer exist.
The Brunn Barn was one of the early progenitors of the "New England Barn" and has an interesting history in that it - well, no other way to put it - was "lost" for a while. Originally, the barn sat on the Brunn property which changed hands. The barn was moved to a different location on Butts Road near what was then Annhurst College (now the Woodstock Middle School and Hyde School complex) where it sat for most of the better part of hundred and fifty years. It was used as a general purpose storage building and even then, it didn't get much use. So it effectively was lost as everybody just thought it was an old building left hanging on eventually deemed a "hazard" and subject to razing - the building had fallen into some disrepair and externally was covered with tar paper shingles.
As it happened, Dr. George Looby, a large animal vet was looking for a barn for use as an agricultural exhibit for the antique tractor and farm equipment section of the Fair. This building was mentioned as a possible candidate and when Dr. Looby investigated, he discovered its history. It is built using the "scribe rule framing" post and beam construction technique - every mortise and tenon joint is unique to that joint only - they are not interchangeable as they would be in square rule framing. Scribe rule was the hallmark of New England Barns of the time period.
The Brunn Barn was moved to the Fair grounds and restored to its original condition. It now houses the mechanical and operations agricultural exhibition of the Woodstock Fair presenting the equipment and tools of the time period in which it was built.