Exposure to aged second hand smoke can be especially harmful, as the toxicity of the associated particulate matter increases over time.
Also, second hand smoke is more toxic than mainstream smoke (what the smoker inhales), so even brief exposures can have effects on your health - even a little dose can have a disproportionate effect.
Even if The Wooz isn't around anyone who is smoking at the time, if someone has smoked in the house or in the clothes they are wearing, she can be exposed to the particulate matter.
So, if it were me and my baby, I'd be staying in a hotel. I would tell H he can do what he wants, but me and by baby would not be staying there.