Let's start at the beginning:
Full Wolf Moon--since the wolves would wander the forests during this cold winter month, the people would hear the howling of the wolves at night. Thus the name of this moon.
Full Snow Moon--it is said that February is the month of the heaviest snowfall.
Full Worm Moon--the ground begins to thaw in this month and comes the appearance of earthworms and the birds that prey upon them. What a cool way to signify the coming of Spring!
Full Pink Moon--herb moss pink, or wild ground pholx, is one of the earliest and most widespread flowers to appear for this month. It's another signal for spring.
Full Flower Moon--by this month, flowers are abundant everywhere.
Full Strawberry Moon--this is the month when strawberries are in season.
Full Buck Moon--this is the time when bucks begin to grow their antlers and they become visible.
Full Sturgeon Moon--Sturgeon is a large fish caught out of the Great Lakes and it is known that during this month there is the most abundance of this fish.
Full Corn Moon or Full Harvest Moon--this moon signified when it was time to harvest corn crops. It occurs very close to the Autumn Equinox and sometimes peaks in October instead of September.
Full Hunter's Moon or Full Harvest Moon--this is the time when people began preparing for the long winter months ahead by storing meats, grains, and other materials from their crops.
Full Beaver Moon--Beaver's were hunted during this month for their furs to keep warm during the winter. The beaver's are also preparing for the winter at this time.
Full Cold Moon or Full Long Nights Moon--During this month, the nights are at their longest and the winter is fully upon the Earth.
For more complete details for these moons, check out the link below. Some of the moons are referred to with different names other than the ones listed above. Also, in other traditions, these moons have different names.
Reference: Full Moon Names and Their Meanings
Here are a few different names for different traditions!