Hi Alex,
I realize after reading your question again that you were not asking about coils and their general use in gun locks but just for underhammers of the type you had. For a light duty spring for the sear, I would not be surprised if coils were used and your reproduction is historically accurate, although I have never inspected an original underhammer lock. My original 1862 Sharps carbine has a small coil spring that puts pressure on the detent that locks the lever that holds the action in place. So coils were certainly used in production guns during the mid-19th century. But like I mentioned previously, it also doesn't surprise me that they would not use a coil spring for the mainspring even if they did use one for the sear spring.
dave