I agree with louderthanbombs & miss bassets. P. papilionaceus, (possible varient parvisporus.) and maybe the first one in the first pic without a stalk is Panaeolus subfirmus. All these are generally found actually growing out of cow/sheep dung. If you find a liberty cap growing out of a pile of dung, it’s a fluke and it’s actually growing out of the ground under it.
The reason you have liberty’s in animal feilds is that their life cycle can include being eaten by rumenants, to help the spore to germinate. The shrooms don’t grow until the dung has all but decomposed, so you tend to find them in tufts of grass.
Don’t give up though, I forage for all sorts of mushrooms every year, and everything is late. hopefully the very cold weather will hold off a bit longer, but you may still find liberty’s for 4 more weeks. (in sheltered spots only, if theres a series of sharp frosts.)
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