It could be a burr as Jim said or corrosion or petrified oil is holding it in place. Try a soak in penetrating oil, my go to is Kroil. Give it a day or two then repeat the process with the spring seat part of the firing pin clamped in vice. Look for the opposing V's to use as flats. There is a actual tool for this that's lost to history. I saw a drawing of it once. You can try a locking plier on the flat of the cocking piece for more torque.
Oh yeah those can can bite you in a way that will alter your thought pattern. It happened to me the first time I took one apart. It was on my 1909 Argentine when I was 18. That shied me away from working on firearms for a couple of years but I got over it. Still have the scar btw.