Brayton is a city in Audubon County, Iowa, United States, along the East Nishnabotna River. The population was 143 at the 2020 census. Bra…Brayton is a city in Audubon County, Iowa, United States, along the East Nishnabotna River. The population was 143 at the 2020 census. Brayton was laid out in 1878. Brayton was the name of a railroad employee. The first school was opened in Brayton in 1896.