word choice - 森 vs 林 for forest

According to A Guide to Remembering Japanese Characters, 森 (38) is woods and 林 (75) is forest.

But some material I've found online related to Japan seems to indicate 森 is the more correct Japanese word for forest.

Is the book correct or do native Japanese speakers use 森 for forest, and not 林?

Edit: To give a little more context I originally avoided in the question to avoid appearing commercial but now I see will help make answers more specific, one of these words is already used to brand a product. If it's the incorrect word I'll need to change the product name.

I hope that helps, and I apologize if being vague hampers you giving what you feel is an appropriate response.