From Wiki:
"The Cherokee Moons Ceremonies were the ancient seasonal round of ceremonies practiced during ancient times by the Ah-ni-yv-wi-ya or Cherokee People in the ancient culture. Although a modern calendar year comprises 12 months, there are actually 13 cycles or phases of the moon each year. The seasonal round of ceremonies was based on 13 moons, and was considered a necessary spiritual element for growth and encouraged social gatherings among the Cherokee Clans and Cherokee Society in the ancient culture."
http://en.wikipedia.org/wiki/Cherokee_Moons_Ceremonies
I have to find a Wiki FTW emoticon...
A list another person put together:
http://www.legendfire.com/forums/index.php?showtopic=81
A List of Full Moon Names that Include:
Native American, Chinese, New Guinean
Colonial American, English Medieval
and Neo-Pagan.
http://home.hiwaay.net/~krcool/Astro/moon/moonnames.htm