It is sad Rose but if it goes ahead, it will set a precedent. Whilst it must be difficult to refuse a dying wish, it isn't unreasonable to expect someone to say, "No", to something big like that. Most would! Then there's the question of the anonymous father. It's not really about being ageist, at least not on my part, I would feel the same way if she was 38 and her late daughter 19.
I wonder why her daughter wanted to save her eggs if she knew she was dying, there was presumably no potential father in the picture at that time. If someone dies leaving a young child that is terribly sad but can't be helped and if there is family, they will usually rally round to make sure the child is as loved and cared for as possible - but why create a child/grandchild in such difficult circumstances just for the sake of a bit of yourself being carried on to the next generation.
It strikes me as believing one is entitled to a child under any conditions, with no visible other parent, just to fulfill a personal desire, not even a need. The phrase, "Why shouldn't I?" springs to mind.
The medical personnel involved in this sort of procedure really do need to sort out their ethics; they won't please everyone but if it was not possible to do this, it wouldn't be considered.