From the research I have done, your pair of chairs appear to be European. Possibly German or swiss made. They both have a box stretcher construction, with bulbous sausage style turnings on both legs.The chairs appear to have as you said the monk's face carved into he backs. This are very unusual chairs. I would recommend insuring them. If I were going to appraise them at a fair market price I would say for the pair around 400, 225 for the rocker and 175 for the chair. As far as an insurance price I would say somewhere between 600-700 for the pair. They look to be one of a kind chairs. I have seen similar German carvings with the wind as the face blowing a gust of air, but not like these. These are more than likely turn of the century,1900-1920, Oak was prevalent in furniture production at this time.
I Hope this information was helpful to you in your research,
Best of luck with the chairs,
Frank