eowyn doesn't die. her arm goes numb from stabbing the nazgul. aragorn then heals her and farmair in the houses of healing using kingsfoil (the same stuff he used on frodo in fellowship after being stabbed by the same nazgul).
then faramir and eowyn fall in love and get married.
hmmmm....missed that part. hard book to read. but at least i finished it. just don't have a very good memory of ANYTHING.