Glenna is a distinctive girls' name in United States, ranking #6010 in 1999 with 17 recorded births. The name reached its all-time peak in 1997 with 31 births ranking #3654. Since 1996, the popularity has decreased by 43.3%. In 1999, approximately 1 in every 104,340 girls born was named Glenna. FALLING Recent data shows the name is currently falling.