I found a 1860 one cent indian head coin, it is stamped PAT. across the middle. Is this a rare coin or did someone deface this coin?
An Indian 1860 one cent head coin doesn't have the PAT stamp. The coins that were made between 1859 and 1864 composed 88% copper and 12% nickel, as required by law. You can get more details at http://values.hobbizine.com/indian-cents.html.
That is a replica coin, which is why it has that stamp on it