Which informed the other?
The state of Virginia was named in honor of Queen Elizabeth, the Virgin Queen.
Zev Steinhardt
Or, if you’re a cynic, the “Virgin” Queen.
And I believe the first person with the given name Virginia was Virginia Dare, the first English person born in the New World.
The word “virgin” comes from Latin. I’m sure it was around a long time before a name was derived from it.