Question: What is the name of the New South Wales surfing destination, the Schooner Ada and Ethel wrecked off the coast of, in 1887?

full_context: Document 1: Blueys Beach, New South Wales: Blueys Beach is a beach and locality in the Pacific Palms area of New South Wales, Australia. The beach extends for 900 m south before it hits the head. The beach is backed by 216 m of hilly slopes filled with vegetation. It is a popular tourist attraction, attracting thousands each year. Although un-patrolled, few drownings have been recorded at the beach. High swells and rough surf are common at times. There are also two other beaches nearby such as Boomerang Beach, New South Wales and Elizabeth Beach, New South Wales.
Document 2: Seal Rocks, New South Wales: Seal Rocks is a small coastal settlement in the Mid-Coast Council local government area, in the Mid North Coast/Hunter regions of New South Wales, Australia, 275 km north-north-east of Sydney. It is famous for its many premier surfing beaches (including Lighthouse Beach, Treachery and Yagon), and also for being the home of Seal Rocks lighthouse, officially known as Sugarloaf Point Lighthouse. At the 2006 census, the area had a population of 131 persons.
Document 3: Hyams Beach, New South Wales: Hyams Beach is a seaside village in the City of Shoalhaven, New South Wales, Australia, on the shores of Jervis Bay. At the 2016 census , it had a population of 112. The village, 180 km south of Sydney, is bordered by 2 beaches, Chinaman's Beach to the north and Seaman's Beach (sometimes referred to as "Sailors Beach") to the south. Hyams Beach is the beach in the centre.
Document 4: SS Penola: SS "Perth", formerly SS "Penola" was a  GRT steamship operated by the Adelaide Steamship Company. "Penola" was notable for ramming and sinking the SS City of Launceston, a passenger steamship, in Port Phillip Bay on 19 November 1865. Renamed "Perth", the steamship ran aground and was wrecked off Point Cloates in Western Australia on 17 September 1887.
Document 5: Ada and Ethel: Ada and Ethel was a wooden schooner that was wrecked 10 mi southeast of Seal Rocks, New South Wales, Australia, on 26 October 1887.
Document 6: SS City of Adelaide (1863): The "City of Adelaide" was a passenger steam ship launched in 1863 in Glasgow, Scotland. The vessel was later converted to a Barque for use as a cargo transport. In 1912 the vessel was gutted by fire, and in 1916 the burnt hulk was run aground in Cockle Bay, Magnetic Island, Australia. During the Second World War four people were killed in a training accident when a RAAF aircraft struck the masts of the vessel.
Document 7: Active (1877): Active was a wooden ketch that was wrecked on 19 January 1898 on the Oyster Bank at the entrance of Newcastle Harbour, New South Wales, Australia, near the previously wrecked schooner "Colonist" while carrying a cargo of ironbark to Morpeth, New South Wales, under the command of Captain P. Williams. There were no casualties but the ship was lost. The wreck has not been located, but the approximate co-ordinates of the shipwreck are .
Document 8: Storm of 1897: The storm of 1897 was a severe storm that struck the lower to central North Island of New Zealand on 16 April 1897. It caused the ship "Zuleika" to run aground near Cape Palliser, with the loss of 12 lives, and severe flooding. At Clive the flooding caused the loss of a further 12 lives and one person was drowned near Kapiti. There were six further unconfirmed reports of drowning, bringing the total loss of life directly related to the storm event to between 25 and 31. Based on descriptions of the storm, particularly that of Captain Marten of the "Waiapu", it may have been an extratropical cyclone.
Document 9: Betsey (schooner): Betsey was a schooner of 75 tons that was wrecked in the South China Sea in 1805 while "en route" to the newly established penal colony of New South Wales.
Document 10: Great Mackerel Beach, New South Wales: Great Mackerel Beach is a suburb about 43 kilometres north of the Sydney central business district, from 2016 in the local government area of Northern Beaches Council, Sydney, New South Wales, Australia, formerly part of Pittwater Council. It is on the western shores of Pittwater in Ku-ring-gai Chase National Park, beside Currawong Beach, and near Coasters Retreat and Palm Beach. The population was 36 at the 2016 census ; the median age was 66, with an average of 0.3 children per family and an average of 2 people per household. The population was 301 at the 2011 census , and 103 in 2006.
Document 11: Aeolus (1850): Aeolus was a wooden ketch built in 1850 at Pyrmont, New South Wales, Australia, that was wrecked when her anchors parted while she carried timber to Sydney, New South Wales, under the command of Captain R. Taylor and was lost at Hole in the Wall, Jervis Bay, New South Wales, on 24 October 1867. The wreck has not been located, but its approximate position is .
Document 12: Urunga, New South Wales: Urunga is a small town on in the Mid North Coast region of New South Wales, Australia, in Bellingen Shire. It is famous for its surf spots (reefs, beaches and mouth of two rivers). At the 2011 census , Urunga had a population of 3,020. The town is south of Coffs Harbour and Sawtell and north of Nambucca Heads. The place name, "Urunga" (pronounced Oo-run-ga), is derived from the Gumbaynggir word "Yurūnga" (pronounced Yu-roon-ga), which is derived from the word for long "yurūn" in reference to "long white sands".
Document 13: Byron Bay, New South Wales: Byron Bay is a beachside town located in the far-northeastern corner of the state of New South Wales, Australia. It is located 772 km north of Sydney and 165 km south of Brisbane. Cape Byron, a headland adjacent to the town, is the easternmost point of mainland Australia. At the 2011 census , the town had a permanent population of 4,959. The town is in turn the nucleus of Byron Shire, which had 29,209 residents.
Document 14: Advance (1874): The Advance was a composite schooner built in 1874 at Auckland, New Zealand, that was wrecked when she drifted onto rocks at Henrys Head, Botany Bay, New South Wales, Australia, on 12 June 1902, whilst carrying ballast between Wollongong and Newcastle, New South Wales.
Document 15: Eden, New South Wales: Eden is a coastal town in the South Coast region of New South Wales, Australia. The town is 478 km south of the state capital Sydney and is the most southerly town in New South Wales, located between Nullica Bay to the south and Calle Calle Bay, the northern reach of Twofold Bay, and built on undulating land adjacent to the third-deepest natural harbour in the southern hemisphere, and Snug Cove on its western boundary. At the 2016 census , Eden had a population of 3,151.
ground_truth: Seal Rocks