Aleesha is a distinctive girls' name in England & Wales, ranking #637 in 2003 with 45 recorded births. The name reached its all-time peak in 2005 with 207 births ranking #227. Since 1996, the popularity has increased by 95.7%. In 2003, approximately 1 in every 6,193 girls born was named Aleesha. RISING Recent data shows the name is currently rising.