Barrington is a distinctive boys' name in United States, ranking #7610 in 2012 with 10 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #2794. Since 1996, the popularity has decreased by 52.4%. In 2012, approximately 1 in every 189,663 boys born was named Barrington. STABLE Recent data shows the name is currently stable.