lets start at the beginning please. do you have a weight for it? and what does it look like to you? What could be the cause of this from the mint processes to make a coin? to me, looks like someone sprayed it with galvanizing spray on both sides. but that just what I can guess at from the pictures, it's hard to tell what the surface is or isn't.
Sorry, but it's not an error of any kind. It spent some time sitting in an acidic or alkali environment which caused the pitting you see. Could also be from bead/grit blasting. Regardless of the cause of the damage, something like this couldn't have occurred during the minting process
Possible damage from an electric wire wheel brush. Seems only one side is affected which is not usually the case for an acid reduced coin. Note second 'O' of Ohio.
Welcome to the CT family! As stated above, the pitted/mottled look with 'mushy' devices and fields is usually indicative of exposure to an acidic environment. As a result these coins tend to be a little to a Lot underweight. You can help yourself by getting resources or reading up on how coins are minted. This will help you understand what sort of errors can and cannot happen at the mint. The Book of US Coins (a.k.a. Red Book) has lots on information, just don't rely on the pricing as it is not accurate. Coin World Almanac and The Coin Collector's Survival Manual are good helps for you also.
I voted no.. Just a Suggestion.. Create your threads over at the Error Coins forum instead of the What's it Worth forum. It's more important to find out what you may have. In this case it is damaged. Worry about a premium last.
I agree! Not an error and not worth getting checked. Spend it quick while it can still be recognized as a quarter.
