Op, I get it, infact I had a head injury a few weeks ago, I avoided going to hospital because I didn't want them to think it was an attack (like a dick I left the hoover at the top step, just started hoovering down the stairs with the nozzle, pulled the hoover down onto my head! Gave me a right crack)
When I eventually had to go in- still have a headache now! They didn't bat an eyelid!
I was concerned because previously I had a mirror fall and hit me in the head. Nurses in A&E were very concerned that DH had attacked me.
Some of us are just accident prone, but don't go in acting shifty, all it'll do is make them concerned.
Drop that you were drunk, tell them you were just embarrassed.
Next time, go before the kids come back! Even if your ex found out you visited the hospital for a fall, you can say.... I had an accident, the kids were with you! How is that possibly ANY of your business?