In most places (including Great Britain) when you die intestate, your probate estate goes to your closest heirs. Since Ms. Weinhouse was divorced and did not have any children, her probate estate will go to her parents. It is possible that she had assets that either had a beneficiary listed or were jointly. If that were the case, those assets would be distributed accordingly.
Some are saying that she should have done estate planning. However, she was only age 27 and her life was constantly changing. It is possible that the people she would have listed in her will or trust the day she executed the documents would not be the same people she would want to leave assets to 6 months later.
She may have been close with her parents. Ultimately, they will decide, one way or another, what happens to her probate estate.