Darby is a distinctive boys' name in United States, ranking #2319 in 2003 with 46 recorded births. The name reached its all-time peak in 2003 with 46 births ranking #2319. Since 1996, the popularity has increased by 39.4%. In 2003, approximately 1 in every 42,941 boys born was named Darby. FALLING Recent data shows the name is currently falling.