Depends, was there a will? Were they married? (The word biological presumes no, but who knows) Not enough info to know what's going on. Someone has to see a Probate lawyer (Preferably one with family law experience) at this stage to sort this out.
There could still be a contest over custody. When did she pass? Where have the children been before she passed and since then. If the kids were with you and your wife there could be standing to get custody. Go talk to a probate attorney who has some custody expertise. The longer you wait the harder it will be. The children are more important than the possessions. If she had no will the possessions will go to the children.
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