Rimsha is a distinctive girls' name in England & Wales, ranking #671 in 2001 with 38 recorded births. The name reached its all-time peak in 2001 with 38 births ranking #671. Since 1996, the popularity has increased by 660.0%. In 2001, approximately 1 in every 7,052 girls born was named Rimsha. RISING Recent data shows the name is currently rising.