Penelops are a species of duck, and do not live in trees. There is some connection, maybe, since it was thought that ducks were monogamous. But, depending on how much faith you have in Wikipedia entries:

Quote:

Her name is close to the Greek word for duck but is usually understood to be a combination of the Greek word for web or woof (πηνη) and the word for eye or face (ωψ), very appropriate for a weaver of cunning whose motivation is hard to decipher.

http://en.wikipedia.org/wiki/Penelope

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