Tully is a distinctive boys' name in United States, ranking #3851 in 2004 with 24 recorded births. The name reached its all-time peak in 2004 with 24 births ranking #3851. Since 1996, the popularity has increased by 84.6%. In 2004, approximately 1 in every 82,700 boys born was named Tully. FALLING Recent data shows the name is currently falling.