Dayton is a city in Franklin County, Idaho, United States. The population was 510 at the 2020 census. It is part of the Logan, Utah-Idaho Metr…Dayton is a city in Franklin County, Idaho, United States. The population was 510 at the 2020 census. It is part of the Logan, Utah-Idaho Metropolitan Statistical Area. In 1867, Joseph Chadwick and his family settled on Five Mile Creek and built a log cabin. In one room he had a supply store to accommodate the few settlers and freighters. He was followed by Peter Poole, Robert Taylor, Stephen Callan, George Mendenhall, Richard Wickham and their families. The locality was originally known as Franklin Meadows. It was later known as Five Mile Creek, then Chadville, and in 1890 Card. In 1906 William B. Preston gave it the name of Dayton. Fred Jenson was the first Mormon Presiding Elder.