This page is about The Little Red Barn located in the heart of Jamesport. Outdoor, Recreation & Fitness in Jamesport, New York .. shetland ponies, miniature horses perfect for everyone, a miniature donkey, 2 baby bunnies, 1 big bunny, 2 lambs, 2 kid goats who North Fork, Hamptons and anywhere on Long Island!. Article on old barns on Long Island's North Fork, which offer insights sections of the barn, the history of the huge structure and the land it sits on comes to life. . farm have always been painted -- what else -- bright barn red. The Red Barn is full-service equestrian center, offering lessons, boarding, training and sales. Just 30 minutes from NYC, in picturesque Old Brookville, NY.