Experience with Adverse Possession?

[Gene D Stephens]

If you purchase a piece of property, and know for a fact that part of the property is now owned by your neighbor due to adverse possession, would it be advisable to give that land to the neighbor to avoid having to pay their property taxes?  Are there any tax benefits from donating this land?  Could mineral rights come into play?  I know this is probably quite rare, but if anyone has any experience in this, any advice will be appreciated.

Thanks,

Gene