I planted some daffodil bulbs in containers at the beginning of September. The containers are in a relatively sheltered spot but they are outside. A couple of weeks ago I noticed some small shoots - I think they were caused by the continued warm weather. I added another inch or so of compost and therefore buried the shoots. Unfortunately the shoots have come through yet again and there is no more space at the top of the containers to add more compost. With the weather having turned very cold recently, I'm worried the shoots will die. Does anyone have any suggestions?

Thanks!

My only other thought is, are you sure you got daffodils and not Paperwhite narcissi which shoot very quickly if they are in light and are not frost proof. They are for growing indoors for very early flowers.