Is there a relation between the moon and the word month (moonth)?

I was watching this movie called "He Died with a Falafel in his Hand" (good movie by the way) and there is a part where this Pagan woman is talking about how there were originally 13 moonths in the year for the 13 cycles of the moon. She also talked about how in Pagan times the Pagan King, chosen by the... show more I was watching this movie called "He Died with a Falafel in his Hand" (good movie by the way) and there is a part where this Pagan woman is talking about how there were originally 13 moonths in the year for the 13 cycles of the moon. She also talked about how in Pagan times the Pagan King, chosen by the Pagan matriarch, would be sacrificed on the end of the 13th cycle in which his ashes were supposed to bring new fertility to the earth. The abolishing of this system by a Christian patriarchal system not only got rid of the follow of the 13 moon cycles but also is where the number 13 comes from as being seen as unlucky. Is there any truth to this or is this a bunch of B.S. made up by the writer?
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