Heavenleigh is a distinctive girls' name in United States, ranking #5435 in 2004 with 23 recorded births. The name reached its all-time peak in 2014 with 25 births ranking #5368. Since 1996, the popularity has increased by 76.9%. In 2004, approximately 1 in every 79,831 girls born was named Heavenleigh. FALLING Recent data shows the name is currently falling.