Turning grey

["mike and laurie hilyard" <PFmorabs@toast.net>]

I just bought a 9 month old Morab filly - currently a black bay.  Mom is a grey, Daddy is dark chestnut.  She has a thin blaze and her two rear legs have white pasterns.  She has isolated white hairs on her face and her top line, heaviest around her tailhead,  and  less numerous as you move up to her withers.   For those of you with more experience with babies - am I correct in assuming she will eventually turn grey?