Aliesha is a distinctive girls' name in England & Wales, ranking #1269 in 2003 with 17 recorded births. The name reached its all-time peak in 2005 with 27 births ranking #971. Since 1996, the popularity has increased by 41.7%. In 2003, approximately 1 in every 16,392 girls born was named Aliesha. FALLING Recent data shows the name is currently falling.