The provided source material does not describe a city named Yook in the Philippines; rather, it identifies Yook as an uncommon Korean family name. The name is also spelled as Yuk or Youk and shares the same Hanja character as the Chinese surname Lu (陸).
There is only one clan associated with this surname, known as the Okcheon Yook clan, which is based in Okcheon County, North Chungcheong Province. According to data from the 2015 South Korean census, there were 23,455 individuals with the surname Yook.