In reading this board I have seen people using different glues for assembling hives and frames.
In my research I have found that Titebond II to be safe and approved by the FDA. But there are people using glues that are not on their frames. As an example Gorilla Glue which is very strong but is not FDA approved as it contains prepolymized MDI and Diphenyl methane-4 which are both toxic. less toxic when dry.

Clinton Bemrose
just South of Lansing Michigan