Glenna is a distinctive girls' name in United States, ranking #12228 in 2015 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 2015, approximately 1 in every 223,082 girls born was named Glenna. FALLING Recent data shows the name is currently falling.