Bullseye’s real name and origins are unknown. He has used the name “Benjamin Poindexter” on several occasions, but there are also instances where his name is given as “Lester”. The miniseries Bullseye: Greatest Hits (2004) developed the character’s backstory, but also revealed that some or all of it has been fabricated, probably by Bullseye himself. In this series, Bullseye’s name was Leonard.
EHT Comics 