Flannery is a distinctive girls' name in United States, ranking #6921 in 2000 with 15 recorded births. The name reached its all-time peak in 2006 with 23 births ranking #5787. Since 1996, the popularity has increased by 15.4%. In 2000, approximately 1 in every 121,065 girls born was named Flannery. FALLING Recent data shows the name is currently falling.