Aleesha is a distinctive girls' name in England & Wales, ranking #568 in 2008 with 67 recorded births. The name reached its all-time peak in 2005 with 207 births ranking #227. Since 1996, the popularity has increased by 191.3%. In 2008, approximately 1 in every 4,713 girls born was named Aleesha. RISING Recent data shows the name is currently rising.