Nathaniel's is Very nice & has a number of gluten free options including appetizers, soups, salads, & very well prepared main dishes. Quiet sophisticated environment. Attentive staff provides great service. The Tavern is not worth a visit, so just ignore them. If you need a gluten free meal, Nathaniel's can accommodate you and do it with a fine dining experience. It is worth the extra expense.
I went to the tavern. The hotel is really nice, maybe the main dinning room would have been better but we were just looking for a low key meal. There were 3 or 4 salads as the only gluten free options. We decided just to leave and eat at Fins. The woman at the tavern gladly said goodbye vs offering to help when I said I wasn't interested in salad and it isn't safe unless I eat gluten free.