Ah, okay. Thank you for clarifying.
Probate should be initiated where she lived and where the bulk of her estate was. This means NY. When someone passes away, then their estate has to be distributed. The problem is that without probate - with assets such as titled property or bank accounts (those that do not have a pay on death clause) - this is hard to do. This is because you cannot switch over the assets without an order from the probate court, and simply a Certificate of Death will not do. A Certificate of Death simply states that someone has passed on, but does not give you the right to really do anything in the deceased's name.
So one files probate. Once probate is filed, the Executor of the estate gets something called a Letter of Testament/Administration (hereinafter "Letter"). This Letter will allow the Executor to switch over the assets from the deceased individual to whoever will own the property. It is like a "Power of Attorney," but from the Court. Without that Letter, there is no way to transfer titled property and switch the assets into names of the heirs.
If there was a Will, the beneficiaries are decided per the Will. If there was no will, the beneficiaries are decided by default succession law of the state.
An Executor can also use the Letters of Testamentary to take her name off a deed.
Now here is where you have a bit of a conundrum. Florida may not recognize NY's Letters of Testamentary. If not, you would actually need to file what is known as an ancillary probate in Florida as well. See HERE. This would essentially be a "quick" probate just to take care of the deed in FL.
So the primary probate would be in NY, but with an ancillary probate proceeding in FL as well.
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