There is two things I wanted to relate. Hever Castle still has it's moat
and it is in Kent. Two the ghost reminds me of Yuki Onni. She is a cross
with a malevolent spirt and a demon. Her story comes from Japan.
//hyakumonogatari.com/2013/12/18/yuki-onna-the-snow-woman/
There is one story. I remember snow ghost stories of a scorned female comes
back for revenge but I can't remember what they were and that is how I
found your lovely piece.