Talking of hares (jugged, jumping or pubic, or white dancing in the night) - has anyone written a song celebrating the beaver?

I always liked that Monkees songs - I'm a wee beaver.

I'm in love/I'm a wee beaver

As beaver songs go, its in a class of its own. But does it tell the truth about swimming round and biting bits of wood? Not a fulfilling life for anyone - one would have thought.