What does 'Babi' refer in Parveen Babi?

Re: What does ‘Babi’ refer in Parveen Babi?

I’ve read that in a book ‘Wo Warq tha dil ki kitaab ka’ by Muhammad Iqbal Diwan and the writer got immense knowledge of history and film industry. So, its definitely not a mde up thing that Babis were darbans of Mughals. There might be something behind this statement.