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The Collaborative International Dictionary
Compaternity

Compaternity \Com`pa*ter"ni*ty\, n. [LL. compaternitas, fr. compater godfather; com- + pater father.] The relation of a godfather to a person. [Obs.]

The relation of gossipred or compaternity by the canon law is a spiritual affinity.
--Sir J. Davies.

Wiktionary
compaternity

n. (context obsolete English) The relationship of a godfather to a person.