NO since you have 116v hot to neutral and 69 volts H-G, I would say you have a floating or open ground. The neutral is fine.
By definition,a floating neutral is a neutral conductor whose voltage to ground is free to vary when circuit conditions change. The neutral being the grounded conductor, it is related to a bad ground, I agree. If multiple grounding points are established (bonded sub panels are a prime example) the equipotential of the grounding plane is thrown.
What to do? Yes, there may in fact be an open ground somewhere. Possibly in one outlet, maybe elsewhere. I would check to see if the neutrals are spliced correctly in the outlet first. If that doesn't do it, start trying to see where else the problem is. Only one phase, only one circuit and so on.