Elizabeth is a city in Otter Tail County, Minnesota, United States. The population was 168 at the 2020 census. Elizabeth was platted in 187…Elizabeth is a city in Otter Tail County, Minnesota, United States. The population was 168 at the 2020 census. Elizabeth was platted in 1872, and named for Elizabeth Niggler, the wife of an early settler. A post office was established under the name Elizabethtown in 1871, and the name was changed to Elizabeth in 1882.