Claiborne is a distinctive boys' name in United States, ranking #10914 in 2006 with 6 recorded births. The name reached its all-time peak in 1996 with 11 births ranking #5246. Since 1996, the popularity has decreased by 45.5%. In 2006, approximately 1 in every 342,520 boys born was named Claiborne. FALLING Recent data shows the name is currently falling.