I'm not sure specifically who Barbara Noel is without more context about this 'Barbara Noel story'. It could be an ordinary person with a unique experience, or perhaps someone known within a particular community or family.
There's not enough information to determine exactly who Barbara Benjamin is in the 'Barbara Benjamin Secret Story'. She could be a fictional character created for a particular narrative, or she could be a real - life individual. If she's real, she might be a private person whose story has only been shared among a select few.
Overall, Gotham has some similarities to the comics, but it also makes significant changes to characters and plotlines to make it more unique for the TV series. For example, some characters' personalities and backstories are altered.
In most cases, Gotham is canon to comics. It incorporates many elements and storylines from the comic universe, maintaining consistency and respecting the source material. However, there might be some creative interpretations or minor deviations for the sake of the TV show's narrative.