Aleysha is a distinctive girls' name in England & Wales, ranking #1666 in 1997 with 10 recorded births. The name reached its all-time peak in 2000 with 12 births ranking #1475. Since 1996, the popularity has increased by 66.7%. In 1997, approximately 1 in every 29,318 girls born was named Aleysha. FALLING Recent data shows the name is currently falling.