Heavenleigh is a distinctive girls' name in United States, ranking #5668 in 2005 with 22 recorded births. The name reached its all-time peak in 2014 with 25 births ranking #5368. Since 1996, the popularity has increased by 69.2%. In 2005, approximately 1 in every 83,986 girls born was named Heavenleigh. FALLING Recent data shows the name is currently falling.