It's correct if you have one of the very rare Proof or presentation pieces that the San Francisco Mint made for that issue. They were made to celebrate the initial issue of the denomination from that mint, which made more of them than all of the other mints combined. I have seen one. They are called "special strikes" and are not as nice as conventional Proof coins from the Philadelphia Mint. According to "CoinFacts" the mintage was around a dozen, but only three or four are accounted for from what I have seen. To give you some idea of the difference, here is a Mint State 1875-P 20 cent piece. And here is a Proof
I bought an 1875 S in my early days of collecting thinking it was a quarter. It cam back from NGC VF35. Anyway, it's one of my favorites.