Aliesha is a distinctive girls' name in England & Wales, ranking #971 in 2005 with 27 recorded births. The name reached its all-time peak in 2005 with 27 births ranking #971. Since 1996, the popularity has increased by 125.0%. In 2005, approximately 1 in every 10,676 girls born was named Aliesha. FALLING Recent data shows the name is currently falling.