"Ironwood" is a "common" name for many very hard woods and depending on your location it could be any of a number of woods. Botanical names are the same all over the world. If you ask someone from China or Norway what ironwood is they might give you 100 different woods. If you ask them about Ostrya virginians, whether is is a local wood for them or not, they will know you are talking about American Hophornbeam.
Botanical names sure make it easier to determine exactly what wood you are talking about thus making it easier to determine whether it is infact good bow wood or not and if it is, what style bow would be appropriate to build with it.