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I am sorry to hear about this situation, J. On this website, I do not always get to give good news, and this is one of these times.
The only way that the home can be place into your name(s) if if you could claim adverse possession, or, squatter's rights. In California, this means proving that you have lived on the property without permission for at least 5 years. See HERE.
Now, I am assuming that you have your uncle's permission to live there. If so, then this is not adverse possession.
If you do not have permission to live there, then someone in your situation may have a claim for adverse possession and if you reply and let me know, we can go from there.
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