Fernan Lake Village is a city in Kootenai County, Idaho, United States. The population was 169 at the 2010 census. According to the United Stat…Fernan Lake Village is a city in Kootenai County, Idaho, United States. The population was 169 at the 2010 census. According to the United States Census Bureau, the city has a total area of 0.07 square miles, all land.