Ambia is a town in Hickory Grove Township, Benton County, Indiana, United States. The population was 239 at the 2010 census. It is part of the Lafayette, Indiana Metropolitan Statistical Area. Ambia was laid out by Ezekiel M. Talbot and his wife Marietta on February 22, 1875, and named for their daughter Ambia Talbot. Its first building was a house erecte…Ambia is a town in Hickory Grove Township, Benton County, Indiana, United States. The population was 239 at the 2010 census. It is part of the Lafayette, Indiana Metropolitan Statistical Area. Ambia was laid out by Ezekiel M. Talbot and his wife Marietta on February 22, 1875, and named for their daughter Ambia Talbot. Its first building was a house erected by James C. Pugh which was soon joined by a grain elevator, general store and blacksmith. A drug store, hardware store, hotel, physician and a variety of other establishments followed.