I like Larksong, but don't think Larks frequent forests much? Not sure, I thought it was more open grassland? That doesn't matter tho.
Timberly would be my other choice.
I have a forest town, and named it after a real forest I've visited several times when I was young and holds special memories for me. Would that be a possible for you - I'm presuming you are in the US, must be lots of woods/forests that you know of/been to?