Glenna is a distinctive girls' name in United States, ranking #6054 in 2004 with 20 recorded births. The name reached its all-time peak in 1997 with 31 births ranking #3654. Since 1996, the popularity has decreased by 33.3%. In 2004, approximately 1 in every 91,806 girls born was named Glenna. FALLING Recent data shows the name is currently falling.