Claiborne is a distinctive boys' name in United States, ranking #12591 in 2010 with 5 recorded births. The name reached its all-time peak in 1996 with 11 births ranking #5246. Since 1996, the popularity has decreased by 54.5%. In 2010, approximately 1 in every 383,682 boys born was named Claiborne. FALLING Recent data shows the name is currently falling.