PORTSMOUTH New Hampshire Watercolor Wash Topo Map: PRINTPORTSMOUTH, New Hampshire. For your Map Wall, memento of your travels, reminder of home. Great as a gift for friends moving, realtor gift, wedding favor. A picturesque little city on the fragmented shores of the Piscataqua River, the border between Maine and New Hampshire, as it empties to the Atlantic. Portsmouth is surrounded by water. Badger's Island and Four Tree Island, and the southern tip of Kittery Maine form the northern border of the map.