One thing you must be very careful of when it comes to Murano glass is that there are some very good Chinese mass produced items such as these in production still today and after 11 million fake products were sezied in Venice in July of 2010, this only adds fuel to the fire. When it comes to this piece being from Murano, it is possible but highly unlikely. The point you mention about the beak being very crude is a clear warning sign that these are Chinese mass produced items and not Murano. The style for one is indeed in the style of Murano and there are many Chinese glass blowers that actually attend courses held in Venice then take the techniques they see back to their parent companies and produce items such as these. If it doesn't seem or feel right, then go with your instincts and I can virtually give you a 99.9% back up opinion that this is Chinese and in no way from Murano. Chinese mass produced items do not have the feel of Murano glass and are sometime quite light to the touch. I hope my opinion gained from years of experience and as the owner of the largest website in the world devoted to Murano glass is one you may take seriously.
Due to the popularity of Murano art glass figurines, this is the single most important driving factor behind the Chinese glass market. The figurines aren't bad but simply are no match for the genuine article
I hope this helps - CIAO!