This is the firt time I have found this 'Fluted Birds-nest', Cyathus striatus, in Pembrey Country Park. Cyathus olla has been found here from time to time but not for several years. The second photo shows another fungus next to a 'Birds-nest' ---- this is some sort of cup-fungus and the cup was on a stalk.
This is Helvella solitaria, the same species as on the 'Blog' on 14/4/2014 but was then called Helvella queletti which is a synonym (although both names are currently on databases). I thought this was a species found in spring but some records are Nov onwards. The find last year looked like Napoleon's helmet.
With these Helvella's, one feature to note is how far the ribs of the stipe go up under the cap --- in this case the ribs stop at the cap base.