Aleisha is a distinctive girls' name in England & Wales, ranking #758 in 2004 with 37 recorded births. The name reached its all-time peak in 2009 with 66 births ranking #576. Since 1996, the popularity has increased by 27.6%. In 2004, approximately 1 in every 7,726 girls born was named Aleisha. FALLING Recent data shows the name is currently falling.