Glenna is a distinctive girls' name in United States, ranking #11078 in 2008 with 10 recorded births. The name reached its all-time peak in 1997 with 31 births ranking #3654. Since 1996, the popularity has decreased by 66.7%. In 2008, approximately 1 in every 189,072 girls born was named Glenna. FALLING Recent data shows the name is currently falling.