Aleesha is a moderately popular girls' name in England & Wales, ranking #227 in 2005 with 207 recorded births. The name reached its all-time peak in 2005 with 207 births ranking #227. Since 1996, the popularity has increased by 800.0%. In 2005, approximately 1 in every 1,393 girls born was named Aleesha. RISING Recent data shows the name is currently rising.