Not all of the pirates mentioned throughout the game were active at the same time. While records of the era are incomplete and inexact, it's believed that Henry Avery died in the 1690's (possibly 1699 as the game posits). Christopher Condent is mentioned as one of his associates, but Condent wasn't even born until that decade. Anne Bonny, also mentioned, was not born until 1702. Edward England would have been a teenager at the time, being born in 1685.
Anne Bonny is depicted as one of the founders of Libertalia and died with the other pirates in 1718. Historically, Anne Bonny was born on 1700, long after Libertalia was founded, and was arrested in 1720, but her actual date of death is unknown. The game presents her as a legendary pirate captain, but Anne never captained on her own, being merely part of the crew of "Calico" Jack Rackham at the time of her arrest. Other pirates show historical inaccuracy, too; Henry Avery is believed to have died in the 1690s (quite possibly 1699, as the game suggests). Edward England and Christopher Condent are mentioned as associates of his, but at that time, they would have been, respectively, a teen and a mere child. Additionally, unlike many of the historical pirates featured in the game, there's no mystery surrounding Condent's fate. He was offered a pardon, settled in France, got married and became a wealthy merchant, leaving the pirate life completely and dying of old age in 1770.