Heavenleigh is a distinctive girls' name in United States, ranking #6436 in 2001 with 17 recorded births. The name reached its all-time peak in 2014 with 25 births ranking #5368. Since 1996, the popularity has increased by 30.8%. In 2001, approximately 1 in every 105,915 girls born was named Heavenleigh. FALLING Recent data shows the name is currently falling.