First off, a dug coin can be graded depending upon the Grading Service that might grade it but it is (**) probably not valuable enough to warrant the cost! For a dug coin or a coin with issues, the Details grade is usually reduced to a Net grade due to the conditions that deter the coin from actually making the Details grade. While it is somewhat hard to determine the grade of the Reverse as a better pic is needed, the Obverse is at least an F-15 but teters on a VF-20. Now, if the Reverse is pretty much the same grade as the Obverse and accounting for the corrosion or other issues that keep the coin from actually being an F-15 or VF-20, it still could receive an F-12 grade and is worth a bit more than $15 in most people's books. The coin appears to be the Small Date Variety but a better close-up pic of the Date would help in determining if this is correct. Now, if it is a Small Date Variety, then (**) there are 8 Sheldon sub-Varieties within the 1819 "Small Date Variety" Large Cents. It may take some time to determine if it is a Common Variety, Scarce Variety or Very Scarce Variety. Once the sub-Variety is determined for the coin, then a more clearer value can be placed on it. I will try to determine the sub-Variety but in the meantime, hopefully someone with the reference books will post the sub-Variety here.
Frank