The CS Officer button which sold for $2,200 did so only because it was in non-dug condition. In dug condition it would be about $275. For example, on the same webpage, buttons cc019 and cc020 are the exact same as each other except one is dug and $250, the other is non-dug and $1,850.
Petrie, your dug CS Officer button is a cuff size, which has a negative eddect on its value, because most button-collectors feel that bigger is better. The cuff-size CS Officer buttons are MUCH more rare than the coat-size ones, but they don't bring the extra money you'd think they would, UNLESS the button was made only in cuff-size (such as button cc021 at that website).
That being said, I've got good news for you. Having done super-close examination of your cuff-size CS Officer button, I can say with certainty that there is no match-up for it in either the Albert button-book or the Tice book. Apparently, you've got an "unlisted" Confederate Officer button. That can add 50% to a button's dollar-value. Some top-level collectors go nuts for real-thing unlisted Confederate buttons.
Here are the characteristics I've observed about your button which IN COMBINATION make it different from any of the cuff CS Officer buttons show in the Albert and Tice books.
1- Its background is smooth, instead of being "lined."
2- The stars are in different positions from any cuff CS Officer buttons shown in the books.
3- The wings are very "triangular" in comparison to the wings on any other cuff CS Officer buttons shown in the books.
Sidenote:
Those details are why I asked for closeup photos when you recently posted the group-photos of your finds. But you never responded to my request. Now that you've finally posted some of the closeup photos I asked for...
About your iron-back yankee cuff-size eagle-button:
It is a kepi-strap button. An iron back causes rust-stains on cloth... but that doesn't matter when the button is on a leather strap.
About your Kentucky State Seal button:
Kentucky did not secede from the Union... and the majority of Kentucky troops served as yankees. So, most collectors do not view a Kentucky Seal button as a Confederate button.
Having said so much about the value of your cuff-size CS Officer button... I think you were also asking about the dollar-value of your solid-cast round-cornered CS buckle. As shown in the scan of the Kerksis buckle-book page posted by HutSiteDigger, it is ranked as a rarity-8 on a scale of 1 through ten, with 10 being the rarest. The last time I saw a dug one in the same condition as yours (especially, having all three hooks intact) for sale, it was priced at $3,700. I don't know what it wound up selling for, but that was the asking-price.