With the English Opera Group at Aldeburgh, Baker sang Purcell's "Dido and Aeneas" in 1962, Polly (Benjamin Britten's version of "The Beggar's Opera") and Lucretia (in Britten's "The Rape of Lucretia"). At Glyndebourne she appeared again as Dido (1966) and as Diana/Jupiter in Francesco Cavalli's "La Calisto", and Penelope in Monteverdi's "Il ritorno d'Ulisse in Patria". For Scottish Opera she sang Dorabella in Mozart's "Così fan tutte", Dido, Octavian in Richard Strauss's "Der Rosenkavalier", the Composer in "Ariadne auf Naxos" and the role of Orfeo in Gluck's "Orfeo ed Euridice". She sang that role everywhere and she is often associated with it.