Heavenleigh is a distinctive girls' name in United States, ranking #6044 in 2000 with 18 recorded births. The name reached its all-time peak in 2014 with 25 births ranking #5368. Since 1996, the popularity has increased by 38.5%. In 2000, approximately 1 in every 100,887 girls born was named Heavenleigh. FALLING Recent data shows the name is currently falling.