Allyson is a moderately popular girls' name in United States, ranking #238 in 2004 with 1,367 recorded births. The name reached its all-time peak in 1998 with 1,651 births ranking #186. Since 1996, the popularity has increased by 11.9%. In 2004, approximately 1 in every 1,343 girls born was named Allyson. FALLING Recent data shows the name is currently falling.