Common Probate of Two Wills of parents

I have a query regarding Hindu succession law, would appreciate help from subject experts: X dies leaving behind an unregistered will wherein he names his wife as the beneficiary in respect of all his movable and immovable properties. The process for probate of X's will was yet to be initiated and his wife also died, within 12 months of X's demise. Wife also leaves behind an unregistered will wherein she assumes ownership over the estate of X and names the beneficiaries. Now to give effect to the will of X's wife, would both the wills require probate or only the will of X's wife?