Because she is born in aus, she will have an aussie one, she will not automatically have dual citizenship just because dad is british. What she will have is the right to become a permanent resident of Britain and work there as an adult (as opposed to other people who can only stay a max of two years on a working visa)...she will need to have her passport stamped with a permanent resident visa if she decides to do this...she does not automatically become a british citizen....she will have to live in britain to apply for that.