Are these fingerprick readings or CGM, if CGM they could be compression lows.
How does she feel? I'm usually not too worried if I wake up with a BG of around 4mmol/l, I can then eat breakfast.
Can you refresh our memory regarding her insulin types please?
If she has a CGM it would be interesting to see her readings overnight, it's hard to know whether it's a case of too much basal (background/long acting) insulin vs too much bolus (short acting) taken with supper which is then driving her down overnight.
I'd guess it's a case of too much basal though as it would be quite unusual for the bolus insulin to both act for so long and for her to have not woken up earlier in the night with low blood sugar, though if on one of the intermediate insulins this certainly wouldn't be unusual - I spent most of my youth doing this trade-off.