Yes I am sure if I have hypos at night they always wake me up!! I have also got up at 3am for a week to test and I was always the same as when I went to bed! It's getting so frustrating having to correct every morning
What insulin regime are you on at the moment? I use to have the same problem on Humulin M3. I'm now using the basal bolus system, which keeps my evening and morning levels under much better control.