Ayr is a village in Adams County, Nebraska, United States. The population was 94 at the 2010 census. It is part of the Hastings, Nebraska Micropolitan Statistical Area. Ayr got its start in the year 1878, following construction of the railroad through the territory. It was named for Doctor Ayr, a railroad official from Iowa. Ayr was incorporated as a village in …Ayr is a village in Adams County, Nebraska, United States. The population was 94 at the 2010 census. It is part of the Hastings, Nebraska Micropolitan Statistical Area. Ayr got its start in the year 1878, following construction of the railroad through the territory. It was named for Doctor Ayr, a railroad official from Iowa. Ayr was incorporated as a village in 1883.