You may be able to research ownership in the county land records. If the deed dtill shows your ggg as grantee, then any of the heirs can prompt a judicial determination of heirship and ask that an administrator be appointed to transfer the property. See a probate attorney.
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I would hire an attorney to obtain a title report and trace the history of title and ownership. Your attorney can then tell you if the property is still owned by your family or what needs to be done, if anything, to clear up the title.
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You first need to have title run for the property to see who are the current owners of the property. If you great great grandfather's estate is still in title, then you would need to have either an heirship determination conducted or an affidavit of heirship drafted to assist in passing the title down to currently living family members. It may (and probably will) involve many affidavits or heirship determinations. You are going to need an attorney to assist you. If you can find an attorney that knows how to run title and knows probate, then you will be set.
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Instead of estate, do you mean a Trust? A trust can continue for many years after the death of a person. Best way to answer your question is to hire an attorney to research this issue.
Assuming your facts are accurate, right now his heirs are underetermined and title is unclear. Because nothing has been done for so long, an heirship proceeding will need to be done for his estate and if such heirs are deceased and left no Will that was admitted to probate, then heirship proceeding in probate court will also need to be done for such heirs. You need to hire a very experienced probate attorney to protect your rights.