Glenna is a distinctive girls' name in United States, ranking #6721 in 2001 with 16 recorded births. The name reached its all-time peak in 1997 with 31 births ranking #3654. Since 1996, the popularity has decreased by 46.7%. In 2001, approximately 1 in every 112,535 girls born was named Glenna. FALLING Recent data shows the name is currently falling.