Question: Which reigning family's king descended form the House of Keōua Nui first name was William?

Context paragraphs:
House of Keoua: The House of Keōua Nui "(Hale O Keōua Nui)", or simply House of Keōua, is a non-ruling noble family of Ancient Hawaii from which the reigning family of Kamehameha I and Lunalilo were descended.

Lunalilo: Lunalilo, born William Charles Lunalilo (January 31, 1835 – February 3, 1874), was King of the Hawaiʻi from January 8, 1873 until February 3, 1874.  Due to his popularity and status as Hawaii's first elected monarch, he became known as "The People's King".

House of Kalākaua: The House of Kalākaua, or Kalākaua Dynasty, also known as the Keawe-a-Heulu line, was the reigning family of the Kingdom of Hawaiʻi between the assumption of King David Kalākaua to the throne in 1874 and the overthrow of Queen Liliʻuokalani in 1893.  Liliʻuokalani died in 1917, leaving only cousins as heirs.  The House of Kalākaua was descended from chiefs on the islands of Hawaiʻi and Kauaʻi, and ascended to the royal throne by election when the males of the House of Kamehameha died out.  The torch that burns at midday symbolizes the dynasty, based on the sacred kapu Kalākaua's ancestor High Chief Iwikauikaua.

Keōua: Keōua Kalanikupuapaʻ īkalaninui Ahilapalapa, sometimes called Keōua Nui ("Keōua the Great") (died c. 1750s–1760s) was an Ancient Hawaiian noble and the father of Kamehameha I, the first King of united Hawaiʻ i.  He was progenitor of the House of Keōua Nui.  His first name Keoua, or Ke-ao-ua means ""the rain cloud"" and was given to him by his subjects because of his generosity.

Alapainui: Alapaʻ i (full name: Alapaʻ inuiakauaua, known also as Alapaʻ i I or Alapaʻ i Nui, "Alapaʻ i the Great") (died in 1754) was a king of Hawaiʻi island in ancient Hawaii.  He was an usurper to the throne, but was considered a good ruler, one who loved the common people, although there is a story that he was responsible for the death of High Chief Keōua Nui.  His title in Hawaiian was "Aliʻ i Aimoku".

Shaen baronets: The Shaen Baronetcy, of Kilmore in the County of Roscommon, was a title in the Baronetage of Ireland.  It was created on 7 February 1663 for James Shaen, subsequently a member of the Irish House of Commons for Baltinglass.  The second Baronet represented Lismore in the Irish Parliament.  The title became extinct on his death in 1725.  The Shaens were descended form Sir Francis Farrell (died 1614) of Granard , County Longford, who took an oath of loyalty to Queen Elizabeth I c.1598, was knighted, and changed his name to Shaen.

House of Laanui: The House of Laʻ anui ("Hale O Laʻ anui" in the Hawaiian language) is a family of heirs to the throne of the Kingdom of Hawaiʻ i collateral to the House of Kamehameha.  Both houses are branches of the House of Keōua Nui.

Kalaimanokahoʻowaha: Kalaimanokahoʻowaha (also known as Kanaʻina) was an aliʻi high chief of the island of Hawai'i who lived during the period of Captain James Cook's visit and western naming of the Sandwich Islands.  He was the chief said to have struck the first blow to Cook when he attempted to kidnap Kalaniʻōpuʻu, the king of the island.  He was called Kanaʻina nui ( an aliʻi title) as a birthright from his father, Keaweʻopala, first born son of Alapainui.  After his father was killed by Kalaniʻōpuʻu, he would serve the new king as a kaukau aliʻi, a service class of Hawaiian nobility that his mother, Moana Wahine had descended from.  This aliʻi service line would continue throughout the Kingdom of Hawaii.

House of Teururai: The House of Teururai was the reigning family of the kingdom of Huahine and Maia'o between Ari'imate's coronation in 1852 and Teha'apapa III's cession of the kingdom to France in 1895.  Teururai kings first ruled Huahine in the middle of the 19th century.  By the end 19th century, a member of the Teururai dynasty also held thrones in Raiatea.

Kekūanāoʻa: Mataio Kekūanaōʻa (1791–1868) was descended from the high chiefs of the island of Oʻ ahu.  His first name is the Hawaiian form of Matthew.  Kekūanaōʻa translates as "the standing projection" in the Hawaiian language.

Supporting paragraphs: House of Keoua Lunalilo
Answer: William Charles Lunalilo