(Bold added). Freejooky, Danalan’s post is thoughtful and nuanced, and I don’t want to suggest otherwise. But the points he raises are not applicable to you, and don’t change the fact that dating this girl would be a Very Bad Idea. First, note the bold portion above - the difference between a 40-year-old and a fifty-year-old is much, much less than that between a teenager and a 27-year-old. In the former case, both people involved are adults, most likely with plenty of experience in relationships, life and so forth. In your case, the 11-year age difference is the difference between an adult and a child. Consider: The girl you met probably has had teachers your age, or even younger. She views people who look like you as authority figures. That’s not a dynamic likely to exist between middle-aged adults.
As for the fact that dramatic age differences were more common back in the day - well, that’s true. But back in the day, men weren’t expected to look for real equals in their mates - their brides were also their wards. That’s not the case today, thanks to something we call “progress”.
Legally, the best way to stay out of trouble is to stay out of trouble. State sex-offense statutes can be notoriously complicated - you’d be very foolish to rely on something like a website listing ages of consent (possibly out of date) to figure this out. Further, I wonder about things like child-welfare laws and civil liability. (What if you got the girl pregnant, Og forbid?) I’m in no way an expert in this stuff, I’m not a lawyer, not your lawyer, etc - but fooling around at the margins of the law is never a good idea.
I’d respectfully disagree with Danalan here. Even if the parents were, by some fluke, okay with you dating their daughter - I’d still be inclined to say it’s not okay. Some parents are just plain odd. It’s so difficult to imagine a relationship between you and this girl being one between genuine equals that I can’t see how reasonable, responsible parents would consent to your dating their daughter. So, I would say: “Don’t do anything, period”.
At the risk of beating a dead horse, there is a world of difference between a relationship involving two sixteen-year-old peers and a child/adult relationship. One involves equals, the other does not. I don’t care how smart or precocious this girl is - she’s a minor, and there are excellent reasons that we treat minors differently than adults like you.
With all due respect to Danalan, the age difference here is entirely “prohibitive”.