Is the person trapped in
>! The Statue of Liberty?

.
>! - "fiiiiine lady": Lady Liberty<br/>- "quite free": a symbol of freedom<br/>- "gagged and bound": The poem at the base of the statue notes its "silent lips"<br/>- "inside a fire": Perhaps trapped inside the torch? The poem at the base of the statue even calls it the "imprisoned lightning"<br/>- "there's water nearby": the statue is on an island

.
>! Another fun fact: There is a DC character named [Lady Liberty][1]


  [1]: https://en.wikipedia.org/wiki/Lady_Liberty_(comics)