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The mere payment of taxes is not suffcient to claim property by adverse possession. You must show some indication of exclusive ownership and use of the property. If you can show control and use, then 20 years is more than sufficient to establish ownership by adverse possession.
An excellent articale on adverse possesion in Texas can be found at: http://recenter.tamu.edu/pdf/1152.pdf
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The only way is to buy it from the owner. Adverse possession was designed to do what you want. If a valid owner exists the property cannot be taken away other than through foreclosure of a lien, or adverse possession.