Heavenleigh is a distinctive girls' name in United States, ranking #5368 in 2014 with 25 recorded births. The name reached its all-time peak in 2014 with 25 births ranking #5368. Since 1996, the popularity has increased by 92.3%. In 2014, approximately 1 in every 71,437 girls born was named Heavenleigh. FALLING Recent data shows the name is currently falling.