Throughout the series I think there has been no hints of Hinata's
mother though I think in the flash back of Neji
during Naruto
vs. Neji
Chunin
Exams she is beside Hiashi
but there is no evident proof of Hinata's
mother dying.
But there are some evidents where when they took a family picture together when Hanabi
was a baby that
her mother died shortly after the picture was took.
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90% chance there has been not even mention of her in the series and latest news sugest that she dies shortly after hanabi's birth
Hiashi Hyūga the Hyūga clan leader her mother's name is unknown but there is a picture of her here http://naruto.wikia.com/wiki/Hinata_and_Hanabi%27s_Mother
His mother is still alive
She died by falling of a cliff
After Naruto beats Neji, he understands that the sub-branch of his family is very important to the whole family and aren't just used as slaves, when that happens, he becomes friends with Hinata.
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