I'm not familiar with snakes native to Kentucky, but it looks like it could be a plain old Gopher Snake, or a Brown Snake, which are both harmless and generally peaceful. It also resembles a Night Snake, which you would not want it to be, because they do have fangs, and are mild-moderately poisonous. Thats the only reason I can think of that she would be throwing up...
Are you sure that she's throwing up because of the snake incident? Maybe it could be something else?
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