My goodness so many unpleasant answers (why?) and so many sad ones. My heart goes out to those of you who have lost dear ones. I still miss my 'little' sister who died in 2013, and this December I thought I might lose my husband, which was truly awful and enables me to empathise with all of you who have been widowed.
In respect of the original post, you are right, 'grief has no time'. It is understandable she still signs for her husband. She still feels part of a couple, does not want to see her name alone on the page - that's understandable too.
It is hard to wish 'Happy New Year' sincerely if you no longer believe in happiness.
Obviously it's really hard for your friend and I don't think you can, or should, expect anything of her, other that she will grieve in her own way, which is right. We never really 'move on' - we learn to live with the hurt, which can change our behaviour.
One thing that may be happening is that you could be picking up some unconscious anger from your friend. When someone we love and need dies it is not unusual for the bereaved person to feel anger - at the person who has 'left' them, or at life/Universe/God or all of the above. Because this emotion seems irrational and shameful it's often hard for the bereaved person to admit to this, and it's hard to process. Maybe - just maybe - your friend is dealing with some anger. Obviously you should not confront this or in any way suggest it is the case. Your friend needs every ounce of understanding and patience you can give her. Hopefully she is having bereavement counselling. Be her friend, be kind and tolerant and maybe, hopefully, in your hour of need you will be treated the same way.