Barrington is a distinctive boys' name in United States, ranking #5833 in 2017 with 15 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #2794. Since 1996, the popularity has decreased by 28.6%. In 2017, approximately 1 in every 123,354 boys born was named Barrington. STABLE Recent data shows the name is currently stable.