There is no connection between the vessels of eye and mouth. So a direct blow to the eye will not cause bleeding form mouth. However if there is any injury to the infraorbital structures when a blow on the eye is there then it can cause bleeding from the infraorbital structures and hence blood from mouth.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
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