It depends. If you are unable to find a cost basis for your mother for the Computershare stocks, then zero is the alternative. Try reaching out to the financial institution on the chance they may know the answer or give information where you might find the cost basis online.
As far as the other stock where the cost basis was reported to you, it would seem it's because they have the information but it may have bee held longer than the requirement to send cost basis to the IRS. Another action that can happen is that the financial agent was changed in the middle and a new company would not have all the information from the original purchase of some portfolio items.
@gk5040
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