Obviously, it's a stupid question to ask if girls like beards or not. Some do and some don't. The question to me is: What kind of girl do you think is attracted to beards? It seems the more submissive, feminine types are the ones who like them most. Beards denote power and authority. If you're a woman who is angry/afraid of this, you probably won't like it. If you're a woman that wants a masculine man (in the pre-18th century sense), you will probably go for it.
This is just my intial thought. I was wondering how my growing beard might "sort out" the pool of women that are attracted to me.