Barrington is a distinctive boys' name in United States, ranking #6369 in 2015 with 13 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #2794. Since 1996, the popularity has decreased by 38.1%. In 2015, approximately 1 in every 147,404 boys born was named Barrington. STABLE Recent data shows the name is currently stable.