Yes, you will still be entitled to the exclusion of gain due to sale of your primary residence since it's been your home far more than 2 of the last 5 years.
It isn't likely the IRS will ask you to prove that you've lived there any specific amount of time, but if they do they will provide you with a list of items that are acceptable proof.
Their own records likely show you at that same address for decades now, so I don't think it will be a problem.
I'm sorry for the loss of your husband.
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