Welcome to the forum
@Theslingerland. Sorry to hear your Nan suffered from diabetic complications and died because of diabetes.
Your fbgs are good, and one slightly higher fbg reading, which is still below 6.9, isn't something you should stress about.
Fbg readings are often the highest of the day. They can be affected by various factors including infecion/illness, stress, tiredness and poor sleep. Also fbgs can be affected by 'Dawn Phenomenon' where your liver dumps stored glucose as you wake to get you going for the day. It's quite common, even for non-diabetics.