A manga about an emotive android fighter girl with black hair
Perhaps you're looking for Battle Angel Alita/Gunnm






  The series is set in the post-apocalyptic future and focuses on Alita, a cyborg who has lost all memories and is found in a garbage heap by a cybernetics doctor who rebuilds and takes care of her. She discovers that there is one thing she remembers, the legendary cyborg martial art Panzer Kunst, which leads to her becoming a Hunter Warrior or bounty hunter. The story traces Alita's attempts to rediscover her past and the characters whose lives she impacts on her journey.