This schoolhouse is not technically part of the balloon festival. Rather it’s one of the permanent features of the Dutchess County Fairgrounds.
According to the Fairgrounds website:
Bentley One-Room Schoolhouse — An authentic one-room schoolhouse which had been moved to the fairgrounds, is filled with memorabilia that reflects educational practices and schoolhouse activities in an era long past. If you are fortunate enough, you may visit at a time when one of the teachers who actually taught in the school is your guide.
For more information on such schoolhouses see: Old Hudson Valley one-room schoolhouses teach history of education.
Taken with a Sony A77M2 and Tamron A18 AF 18-250mm f3.5-6.3.