If you have a fabulous hat, how about a hat box that is uniquely Saratoga? Nancy Barrett, a descendent of Grandma Moses, has created a pen-and-ink image of the Race Course, and had it reproduced in sepia tones and applied to a hat box. Each box is marked and numbered and produced in limited edition. The boxes sell for $129 and are available at the National Museum of Racing, 191 Union Ave.