I read a book sometime in 2011. I know for a fact that the title is simply “Winter.” I am pretty sure the author is a man. Vaguely, I remember that the girl is sent to her extended family in a rural area. I’m pretty sure there’s a graveyard involved at some point, maybe her parents died? I truly can’t remember. But the girl in the book is definitely named Winter. I know this isn’t much to go on, and this isn’t time sensitive.
Lost Classics of Teen Lit: Name That Book! 
The Coldest Winter Ever by Sister Souljah? Not everything fits, but the main character is named Winter and her father sends her/other family members out of Brooklyn to some distant suburb.
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Or, more likely, how about Winter by John Marsden?
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