I only remember snow actually falling on one occasion in the early morning, that was it last winter (it only settled for an hour or two). You must be mixing up your winters, I only have one period of 'snow' falling in my records. I remember last winter very well, I was saying all along that every winter I see something 'white' falling from the sky, but last winter there was just one occasion. I remember of couple of days with hail falling, giving a covering.
Edit...not day a period of a couple of hours around 6.30am.