Flannery is a distinctive girls' name in United States, ranking #6716 in 2001 with 16 recorded births. The name reached its all-time peak in 2006 with 23 births ranking #5787. Since 1996, the popularity has increased by 23.1%. In 2001, approximately 1 in every 112,535 girls born was named Flannery. FALLING Recent data shows the name is currently falling.