The Rosemary Inn at historic Columbia, New Jersey. Beautiful winter trails are only five minutes away from us. Just across the Delaware River in quaint Delaware Water Gap, Pennsylvania lies the southbound Appalachian Trail head. Nestled behind the Deer Head Inn, this section of the trail is a relatively smooth hike. Catch a jazz quartet at the Deer Head Inn after your hike and then come relax in tranquility at the lovely Rosemary Inn.