Aleasha is a distinctive girls' name in England & Wales, ranking #1589 in 2005 with 14 recorded births. The name reached its all-time peak in 2006 with 22 births ranking #1201. Since 1996, the popularity has increased by 55.6%. In 2005, approximately 1 in every 20,590 girls born was named Aleasha. RISING Recent data shows the name is currently rising.