She lives with her father and brother, and said there are many horses already living in the neighborhood.
Barrett told officials his land abuts conservation land and that the rural setting is perfect for the horse.
"I don't see what the problem is," he said.
If the horse was taken from the property, Barrett said, taking his son to riding lessons elsewhere would cost a lot of money. Boarding the horse somewhere else would cost the family real dollars.
Michael Carroll lives next door to the Barrett family and said he has no problem with the horse living there.
"I love the horse, it's beautiful," he said.
Zoning Board member Neil Dunn said because people have complained about the smell, the case isn't an easy one.
"We had a letter from one neighbor with odor concerns," Dunn said. "Because people have odor issues we have to look out for the neighbors and their concerns. And, if it were a 2-acre parcel, we wouldn't be here."
Building inspector Richard Canuel said he would give Barrett ample time to find a solution and since it's winter, the odor problem shouldn't be a big issue.
"I don't want to see him lose his horse," Canuel said. "But I have the citizens of the town to be concerned about as well."