Ah yes, the infamous "Hypo Hangover". I think many of us have experienced it, but until recently, most of us thought it was only just before waking rather than all night. Part of what you are feeling is the effect of your body chucking a ton of glucose out of your liver to get you out of it. If you ever experience a severe hypo, the effects of a glucagon injection are very similar and a good reason to avoid them.
What I'd suggest is that you are careful during the next 24 hours. Your body will try and recover glucose from the blood for the glycogen it used in reacting to the hypo, so you are more susceptible to another one and potentially will be more insulin sensitive. Make sure you test regularly throughout the day, and perhaps go to bed a little higher than normal.