Barrington is a distinctive boys' name in United States, ranking #6678 in 2014 with 12 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #2794. Since 1996, the popularity has decreased by 42.9%. In 2014, approximately 1 in every 160,037 boys born was named Barrington. STABLE Recent data shows the name is currently stable.