Rimsha is a distinctive girls' name in United States, ranking #19421 in 2006 with 5 recorded births. The name reached its all-time peak in 2002 with 12 births ranking #8715. Since 1996, the popularity has decreased by 16.7%. In 2006, approximately 1 in every 380,214 girls born was named Rimsha. RISING Recent data shows the name is currently rising.