Flannery is a distinctive girls' name in United States, ranking #5787 in 2006 with 23 recorded births. The name reached its all-time peak in 2006 with 23 births ranking #5787. Since 1996, the popularity has increased by 76.9%. In 2006, approximately 1 in every 82,655 girls born was named Flannery. FALLING Recent data shows the name is currently falling.