The official biography for the Flash on DC Comics' website is for Barry Allen, the current Flash. However, other characters have also used the name.
Comic Vine lists five major characters who have been the Flash. The first Flash was Jay Garrick, a character from the golden age of comics. He was followed by Barry Allen as the Silver Age's Flash. Wally West served as Kid-Flash, Allen's sidekick, until taking the full title following Allen's death. The fourth Flash, Jesse Chambers, only briefly operated under the name, and Wikipedia does not consider her one of the main titleholders. The fifth character to call himself the Flash was Bart Allen, a 31st-century descendant of Barry Allen. After returning from the dead, Barry Allen resumed using the name.