Pets are not allowed on any park trails or at ranger-led programs. Pets. Please follow the rules of BARK! - Redwood National and State Parks (U.S. National Park Service) Parking Areas: Fern Canyon, Lady Bird Johnson, Tall Trees Trail, and Stout Grove parking lots only. Elk Meadow Day Use Area parklng lot. Bark Ranger BARK Ranger Day Pets Redwood National and State Parks dog redwood Redwoods. Last updated: October 16, 2019. Contact the Park.