Yes, convulsions can occur with hypoglycemia and more likely the lower the glucose value. But, sometimes, it is not the absolute actual glucose value that triggers a convulsion; instead, it might be how fast the glucose is falling. For example, if the glucose were 200 mg/dL [11.1 mmol/L] and if excessive insulin were given to drop the glucose to 80 mg/dL [4.4 mmol/L] at a rapid pace (several minutes), this could trigger a convulsion.
Luckily, hypoglycemic convulsions are rare, but people with diabetes do TEND to get (not ALWAYS get) symptoms of hypoglycemia that are common to them. By that I mean, if you tend to get shaky and sweaty with low glucose, then I would expect you to get shaky and sweaty. But, if you tend to have seizures/convulsions, then don’t be surprised to experience seizures/convulsions.
I am intrigued by your description that there was this convulsion, but no loss of consciousness. Are you suggesting that your daughter was awake and aware? This would not be typical of a convulsion, especially one associated with hypoglycemia. What EXACTLY do you mean by “convulsion”?
DS