Barrington is a distinctive boys' name in United States, ranking #2990 in 1997 with 25 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #2794. Since 1996, the popularity has increased by 19.0%. In 1997, approximately 1 in every 75,404 boys born was named Barrington. STABLE Recent data shows the name is currently stable.