Edna is a city in Labette County, Kansas, United States. As of the 2020 census, the population of the city was 388. The first store in Edna op…Edna is a city in Labette County, Kansas, United States. As of the 2020 census, the population of the city was 388. The first store in Edna opened in 1876. The first post office in Edna was established in April 1878. The town of Edna was platted in the summer of 1886 when the railroad was extended to that point.