There's also another sequence of names of the moon, related to events that occur close to their appearance:

1 - Moon After Yule
2 - Wolf Moon
3 - Lenten Moon
4 - Egg Moon or Paschal Moon
5 - Milk Moon
6 - Flower Moon
7 - Hay Moon
8 - Grain Moon
9 - Fruit Moon
10 - Harvest Moon
11 - Hunters Moon
12 - Moon Before Yule

The third full moon in four is called a Blue Moon. It's the third rather than the fourth, so that the sequence is mainted throughout the year and the final one is still the Moon Before Yule