Island is a Manga/Manhwa/Manhua in (English/Raw) language, Action series, english chapters have been translated and you can read them here. You are reading chapters on www.mgeko.cc fastest updating comic site. The Summary is

Miho, a woman of beauty, intelligence and temper, comes to Cheju Island to teach school and is immediately flung into a world of terror and the supernatural. A demon attacks her and she is saved by the chance appearance of a mystery man with seemingly only one mission... demon killing