Barrington is a distinctive boys' name in United States, ranking #2794 in 1998 with 29 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #2794. Since 1996, the popularity has increased by 38.1%. In 1998, approximately 1 in every 65,908 boys born was named Barrington. STABLE Recent data shows the name is currently stable.