Mycena or Fairy Inkcap?

Mycena or Fairy Inkcap?

Observation - Mycena or Fairy Inkcap?. Description: Around 30 of these fungi were seen among the moss which covered the side of a huge oak tree. They were small - about 1cm diameter and 3cm tall. Could someone offer an ID, please? Looking online, they might be Mycena or Fairy Inkcaps. Is my guess anywhere

Around 30 of these fungi were seen among the moss which covered the side of a huge oak tree. They were small - about 1cm diameter and 3cm tall.
Could someone offer an ID, please? Looking online, they might be Mycena or Fairy Inkcaps. Is my guess anywhere near???