Glenna is a distinctive girls' name in United States, ranking #12220 in 2005 with 8 recorded births. The name reached its all-time peak in 1997 with 31 births ranking #3654. Since 1996, the popularity has decreased by 73.3%. In 2005, approximately 1 in every 230,962 girls born was named Glenna. FALLING Recent data shows the name is currently falling.