The Fisherman Restaurant 937 Groton Long Point Rd, Groton, CT06340 The Fisherman Restaurant, across from Groton Long Point, specializes in fine dining and seafood dishes. Specialties…More include lobster dishes, steaks and pastas. Inside, there are three main dining areas and a full bar. Large picture windows look out to Mumford Cove while the walls are decorated with maps and other nautical paraphernalia. On certain nights there is musical entertainment from the white piano in the back. For outdoor dinners there is a patio with tables. The Fisherman can accommodate private events inside and also does catering in the area.